The-LCM-of-two-numbers-is-272-and-one-of-them-is-16-Find-a-Their-second-common-multiple-b-The-other-number-

Question Number 8827 by tawakalitu last updated on 30/Oct/16

The LCM of two numbers is 272 and one of

them is 16 . Find

(a) Their second common multiple

(b) The other number

Commented by tawakalitu last updated on 31/Oct/16

i have solve this one too using your approach

thanks so much . God bless you

Answered by Rasheed Soomro last updated on 31/Oct/16

The 2 nd common multiple = LCM \times 2 = 272 \times 2 = 544

If A and B are two numbers

A \times B = LCM \times GCD

A = 16, LCM = 272, GCD = G (say), B = ?

16 \times B = 272 \times G

B = 17 G (general answer)

For G = 1, 2, 3, \dots B = 17, 34, 51, 68, \dots