The main purpose of this study is to evaluate the safety and tolerability of LY3841136 in healthy and overweight participants. Blood tests will be performed to check how much LY3841136 gets into the bloodstream and how long it takes the body to eliminate it. This is a 2-part study and may last up to 14 and 28 weeks for each participant and may include 7 and 19 visits in parts A and B, respectively.

Inclusion Criteria:

• Male participants who agree to use highly effective/effective methods of contraception and female participants not of childbearing potential
• Have had a stable weight for the last 3 months
• Have a body mass index (BMI) in the range of 18.5 to 32 kilogram per square meter (kg/m²), both inclusive (in Part A) or a BMI in the range of 27 to 40 kg/m², both inclusive (in Part B)

Exclusion Criteria:

• Are women who are lactating
• Have known allergies to related compounds of LY3841136 or any components of the formulation
• Have a history of significant atopy (severe or multiple allergic manifestations), or clinically significant multiple or severe drug allergies, or severe posttreatment hypersensitivity reactions
• Have been diagnosed with Type 1 or Type 2 diabetes mellitus
• Have a history of chronic medical conditions involving the heart, liver, or kidneys