Question

Two numbers are in the ratio 2:3
and their HCF is 13. Find the LCM of those two numbers.​

Answer 1

Answer:

78

Explanation:

The two numbers are 26 and 39.

To figure out these numbers you can simply do, 13 x 2 and 13 x 3.

After finding the numbers you then just need to find the LCM.

Hope This Was Helpful!

Answer 2

Given

Two numbers are in the ratio 2:3

HCF of two numbers is 13.

To Find

LCM of two numbers

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

Since the numbers are in the ratio 2:3

let the numbers be 2x and 3x

Thus,the HCF of two numbers is x

given that HCF is 13

so,x=13

so, 2x=2×13=26

3x=3×13=39

We know that

HCF×LCM=product of the two numbers

=>13×LCM=26×39

=>13×LCM=1014

=>LCM=1014÷13

LCM=78

∴LCM of two numbers is $\bold{\red{78}}$

Check

HCF×LCM=product of two numbers

=>13×78=1014

=>1014=1014