Question

What is the largest four digit number, which is divisible by 32, 40, 36 and 48 ?​

Answer 1

Answer:

Factors of 32, 40, 36 and 48

⇒ 32 = 25

⇒ 40 = 23 × 5

⇒ 36 = 22 × 32

⇒ 48 = 24 × 3

⇒ L.C.M. of 32, 40 and 48 = 25 × 32 × 5 = 1440

⇒ The largest four-digit number = 1440 × 6 = 8640

∴ The largest four-digit number is 8640.