Question

If xy= 180 and HCF (x,y) = 3, then
find the lcm(x, y)​

Answer 1

Given : xy= 180 and HCF (x,y) = 3,

To Find :  lcm(x, y)​

Solution:

LCM - Least common Multiplier

HCF - Highest Common Factor  

LCM ( x , y) . HCF ( x , y)   = x . y  

xy= 180

HCF (x,y) = 3,

=> LCM ( x , y) . 3  = 180

Dividing both sides by 3

=> LCM ( x , y)     = 60

LCM ( x , y)     = 60

Learn More

Find LCM and HCF of the following pairs of integers and verify that ...

https://brainly.in/question/17387230

hcf ( 2730 ,4400) =110 and lcm (2730) ,4400 = 273 k find the value ...

https://brainly.in/question/22694676

Answer 2

Given:

Product of two numbers (x,y) = 180

HCF (x, y) = 3

To Find :

LCM

Solution :

Let the LCM is N

Product of two numbers = HCF x LCM

Substitute the given values

=> 180 = 3 x N

=> 180 = 3N

=> N = 180/3

=> N = 60

LCM = 60

Verify:

Product of two numbers = HCF x LCM

=> 180 = 3 x 60

=> 180 = 180

Hence, The required answer LCM is 60.

Know More:

Find the LCM of 16/9 and 32/27?

https://brainly.in/question/2671327

The LCM and HCF of two numbers are 504 and 18 respectively. Find the number if one number is 126?

https://brainly.in/question/18903094