Question

If xy = 180 and HCF(x, y) = 3 then fund LCM(x,y)​

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Given :-

xy = 180

HCF(x, y) = 3

To find:-

Find LCM (x,y)?

Solution:-

Given that

xy = 180

Product of two numbers = 180

HCF(x, y) = 3

HCF of x and y = 3

We know that

LCM × HCF = Product of the two numbers

=> LCM (x,y)×HCF(x,y) = xy

=> LCM(x,y)=xy/HCF(x,y)

=> LCM(x,y)=180/3

=> LCM(x,y)=60

Answer:-

The LCM of x and y for the given problem is 60

Check:-

Product of the two numbers = xy = 180

Product of LCM and HCF of two numbers

= 60×3

= 180

Verified the given relation.

Used formula:-

• The product of the LCM and the HCF of the two numbers is equal to the product of the two numbers.

• LCM × HCF = Product of the two numbers.