Question

The L.C.M. and ratio of four numbers are 630 and
2: 3: 5: 7 respectively. The difference between the
greatest and least numbers is​

Answer 1

Answer:

Lcm of 2x, 3x,5x,7x. be210x

210x = 630

x=630/210=3

numbers are 6,9,15,21

greatest No 21

smallest No.6

Answer 2

Answer:

Let the numbers be 2x, 3x, 5x and 7x respectively

Then their LCM = (2 × 3 × 5 × 7)x = 210x.[∴ 2, 3, 5, 7 are prime numbers]

So, 210x = 630 or x = 3

∴ The numbers are 6, 9, 15 and 21

Required difference = 21 - 6 = 15