Inclusion Criteria:

1. Voluntary consent must be given before performance of any study related procedure.
2. Male or female subjects ≥18 years.
3. Multiple myeloma subjects with at least 2 prior therapies that included lenalidomide and proteasome inhibitor combined or in different regimens, and refractory to most recent line of therapy.
4. Measurable disease as defined by any of the following:
   • Serum M-protein level ≥0.5 g/dL OR
   • Urine M-protein level ≥200 mg/24 hours; OR
   • Light chain multiple myeloma without measurable disease in the urine: serum Ig free light chains (FLC) ≥10 mg/dL and abnormal serum Ig kappa/lambda FLC ratio.
5. Eastern Cooperative Oncology Group (ECOG) performance status of 0-2.
6. Female subjects who:
   1. Are postmenopausal (see Appendix 4 for definition) for at least one year before the screening visit, OR
   2. Are surgically sterile, OR
   3. Females of childbearing potential or male subjects with female partners of childbearing potential shall be required to use effective contraceptive methods (double barrier method, intrauterine device, oral contraception or abstinence) starting two weeks before first study drug(s) administration, while on therapy and for 16 weeks following the last dose of study drug(s). A woman is considered of childbearing potential, i.e., fertile, following menarche and until becoming postmenopausal unless permanently sterile. Any of the following highly effective methods of contraception are accepted:
      • Established use of oral, intravaginal, or transdermal combined (estrogen and progestogen containing) hormonal contraception associated with inhibition of ovulation.
      • Established use of oral, injectable, or implantable progestogen-only hormonal contraception associated with inhibition of ovulation.
      • Placement of an intrauterine device or intrauterine hormone-releasing system.
      • Barrier methods of contraception: male condom with either cap, diaphragm or sponge with spermicide (double-barrier methods). The use of double-barrier methods should always be supplemented with the use of a spermicide. Female condom and male condom should not be used together.
      • Male sterilization (provided that the partner is the sole sexual partner of the subject and that the sterilized partner has received medical assessment of the surgical success).
      • Sexual abstinence.
      • Female subjects must agree not to donate eggs (ova, oocytes) for the purposes of assisted reproduction starting two weeks before first study drug(s) administration, while on therapy and for 16 weeks following the last dose of study drug(s).
   4. Females of childbearing potential must have a negative serum or urine pregnancy test prior to enrollment.
7. Male subjects, even if surgically sterilized (i.e., status post vasectomy), who:
   1. Agree to practice effective barrier contraception during the entire study treatment period from the time of signing the informed consent through and through four months after the last dose of study drug(s) (female and male condoms should not be used together), or
   2. Agree to practice true abstinence during the entire study treatment period from the time of signing the informed consent through four months after the last dose of study drug(s), when this is in line with the preferred and usual lifestyle of the subject. (Periodic abstinence [e.g., calendar, ovulation, symptothermal, post ovulation methods for the female partner] withdrawal, spermicides only, and lactational amenorrhea are not acceptable methods of contraception.)
8. Due to the teratogenicity of pomalidomide and the lack of adequate reproductive toxicity data for isatuximab and/or elotuzumab, in addition to the user independent highly effective method of contraception, a male or female condom with or without spermicide, diaphragm, or cervical cap is required. Male condom and female condom should not be used together (due to risk of failure with friction).

Exclusion Criteria:

1. Diagnosed or treated for malignancy other than multiple myeloma, except:
   • Malignancy treated with curative intent and with no known active disease present for ≥3 years before enrollment.
   • Adequately treated non-melanoma skin cancer or lentigo maligna without evidence of disease.
   • Adequately treated carcinoma in situ (e.g., cervical, breast) with no evidence of disease.
2. Exhibiting clinical signs of or has a known history of meningeal or central nervous system involvement by multiple myeloma.
3. Subjects refractory to prior signaling lymphocytic activation molecule F7 (SLAMF7) monoclonal antibody
4. Prior cluster of differentiation 38 (CD38) monoclonal antibody is allowed as long it has been >6 months and patients had achieved at least a partial response or better.
5. Subject refractory or intolerant to prior pomalidomide therapy.
6. Known chronic obstructive pulmonary disease
7. Known moderate or severe persistent asthma within the past 2 years, or currently has uncontrolled asthma of any classification. Note: Subjects who currently have controlled intermittent asthma or controlled mild persistent asthma are allowed in the study.
8. Known to be seropositive for human immunodeficiency virus, known to have hepatitis B surface antigen positivity, or known to have untreated or active hepatitis C.
9. Concurrent medical condition or disease (e.g., active systemic infection) that is likely to interfere with study procedures or results, or that in the opinion of the investigator would constitute a hazard for participating in this study.
10. Clinically significant cardiac disease, including:
    • Myocardial infarction within six months before enrollment or unstable or uncontrolled disease/condition related to or affecting cardiac function (e.g., unstable angina, congestive heart failure, New York Heart Association Class III-IV).
    • Uncontrolled cardiac arrhythmia (National Cancer Institute Common Terminology Criteria for Adverse Events [NCI-CTCAE] Version 5 Grade 2 or higher) or clinically significant electrocardiogram (ECG) abnormalities.
    • Screening 12-lead ECG showing a baseline QT interval as corrected by Fridericia's formula (QTcF) >470 msec.
    • Uncontrolled hypertension (BP >160/100 in the presence of blood pressure medications)
11. Subjects who have inadequate evidence of bone marrow/hepatic/renal function as defined by the following:
    • Absolute neutrophil count <1.0 × 109/L; no growth factors in the previous seven days is allowed.
    • Hemoglobin level ≤7.5 g/dL (≤5 mmol/L); blood transfusions to maintain hemoglobin >7.5 g/dL are acceptable.
    • Platelet count <75 × 109/L for subjects in whom <50% of bone marrow nucleated cells are plasma cells; otherwise, platelet count <50 × 109/L; no platelet transfusions in the past seven days are allowed.
    • Alanine aminotransferase (ALT) level ≥2.5 × ULN
    • Aspartate aminotransferase (AST) level ≥2.5 × ULN
    • Total bilirubin level ≥1.5 × ULN, (except for Gilbert Syndrome: direct bilirubin ≥2 × ULN)
    • Corrected serum calcium >14.0 mg/dL (>3.5 mmol/L) or free ionized calcium >6.5 mg/dL (>1.6 mmol/L)
12. Known allergies, hypersensitivity (if not amenable to premedication with steroids, or H2 blockers), or intolerance to monoclonal antibodies or human proteins, isatuximab or its excipients or known sensitivity to mammalian-derived products.
13. Plasma cell leukemia (>2.0 × 10^9/L circulating plasma cells by standard differential), Waldenström's macroglobulinemia, POEMS syndrome (polyneuropathy, organomegaly, endocrinopathy, monoclonal protein, and/or skin changes), or light-chain amyloidosis.
14. Known or suspected of not being able to comply with the study protocol (e.g., because of alcoholism, drug dependency, or psychological disorder) or the subject has any condition for which, in the opinion of the investigator, participation would not be in the best interest of the subject (e.g., compromise their well-being) or that could prevent, limit, or confound the protocol-specified assessments.
15. Pregnant or breastfeeding or planning to become pregnant starting two weeks before first study drug(s) administration, while on therapy and for 16 weeks following the last dose of study drug(s).
16. Plans to father a child starting two weeks before first study drug(s) administration, while on therapy and for 16 weeks following the last dose of study drug(s).
17. Had major surgery within two weeks before Cycle 1, Day 1, or will not have fully recovered from surgery, or has surgery planned during the time the subject is expected to participate in the study or within two weeks after the last dose of study drug administration. Note: Subjects with planned surgical procedures to be conducted under local anesthesia are not excluded. Kyphoplasty is not considered a major surgery.