Question

Find the smallest 4 digit number that is exactly divisible by 36 40 and 45

Answer 1

Step-by-step explanation:

The smallest 4-digit number which is divisible by 36, 40 and 45.

36=2x2x3x3 = 2^2 x 3^2

40=2x2x2x5 = 2^3 x 5

45=3x3x5 = 3^2 x 5

LCM (36, 40, 45 ) = 2^3 x 3^2 x 5 = 8 x 9 x 5 =40 x 9 =360

∴ Required smallest 4-digit number which is divisible by 36, 40 and 45

is = 3 x 360 = 1080