Question

Two numbers in the ratio 15 : 11 have their hcf to be 13. What is their lcm

Answer 1

Answer:

LCM is 2145.

Step-by-step explanation:

The relation among two numbers and their LCM and HCF is given as:

LCM* HCF = a*b ( where a and b are the two numbers respectively)

Ratio of two numbers= 15:11 and so let the two numbers be 15x and 11x

HCF=13

HCF is highest common factor so we can say that 13 is the highest and only common factor between them

So, we can consider the common factor to be 13

Hence,the two numbers are = 13* 15 = 195 and 13*11 = 143

Now, the LCM of these two numbers is :

LCM =( 195* 143)/ 13 = 2145