If-the-third-common-multiple-of-two-number-is-495-Find-a-their-LCM-b-the-second-number-if-one-is-15-

Question Number 8828 by tawakalitu last updated on 30/Oct/16

If the third common multiple of two number

is 495 . Find

(a) their LCM

(b) the second number if one is 15

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

The third common multiple = LCM \times 3 = 495

(a) LCM = \frac{495}{3} = 165

(b) If the first number is 15 the second number 11 \dots . .

Continue

Commented by tawakalitu last updated on 31/Oct/16

i have solve the rest . thanks so much

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

The 3 rd common multiple = LCM \times 3 = 495

(a) LCM = \frac{495}{3} = 165

(b) If A and B are two numbers then

A \times B = LCM \times GCD

(LCM : The least common multiple, GCD : The greatest

common divisor)

Let G is GCD, we have A = 15, LCM = 165, B = ?

15 \times B = 165 \times G

B = \frac{165 G}{15} = 11 G

For G = 1, 2, 3, \dots B = 11, 22, 33, 44, \dots

General answer B = 11 G

Commented by tawakalitu last updated on 31/Oct/16

Wow . God bless you .