Question

3) Two no. are in ratio of 15 :11. If their HCF is 13
Then find its LCM​

Answer 1

Answer:

2145

Step-by-step explanation:

,Let Y be the common multiple

hence, the no are 15Y and 11Y

15Y= 3 x 5 x Y

11Y= 11 x Y

No common Factor Except 1

since the HCF is 13 so, Y = 13

hence the numbers are:

15 x 13 = 195 = 3 x 5 x 13

11 x 13 = 143 = 11 x 13 (HCF=13)

LCM= 13 x 5 x 3 x 11 = 2145

Answer 2

the answer will be 2145

this is how

Let the two numbers be 15x and 11x

The HCF of 15x and 11x is x.

x = 13

We know that

Product of two numbers x and y = LCM(x, y) × HCF(x, y)

15 × 13 × 11 × 13 = LCM × 13

LCM = 27885/13

LCM = 2145

HOPE YOU UNDERSTAND