What is the least number which when diminished by 5, is divisible by each one of 21, 28, 36, 45?

a) 425

b) 1259

c)1260

d)1265

Question

What is the least number which when diminished by 5, is
divisible by each one of 21, 28, 36, 45?
a) 425
b) 1259
c)1260
d)1265

Manbar Singh · Accepted Answer

The prime factorisation of 21, 28, 36 and 45 is,21 = 3 × 728 = 2 × 2 × 736 = 2×2×3×345 = 3×3×5LCM of 21, 28, 36 and 45 = 2×2×3×3×5×7 = 1260Now, the required number = 1260 + 3 = 1263

What is the least number which when diminished by 5, is divisible by each one of 21, 28, 36, 45? a) 425 b) 1259 c)1260 d)1265

What is the least number which when diminished by 5, is divisible by each one of 21, 28, 36, 45?

a) 425

b) 1259

c)1260

d)1265