Question

If xy=180 and HCF(x,y)=3, then find LCM (x,y)
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Answer 1

Step-by-step explanation:

Given:-

xy=180

HCF(x,y)=3

To find:-

Find the LCM (x,y) ?

Solution:-

Given that

xy=180

HCF(x,y)=3

We know that

LCM and HCF of two numbers a and b are L and H respectively then

The product of LCM and HCF is equal to the product of the two numbers .i.e. L×H = a×b

Now ,

We have

LCM(x,y) × HCF(x,y) = xy

=>LCM(x,y) × 3 = 180

=> LCM (x,y) = 180/3=60

LCM (x,y) = 60

Answer:-

The value of LCM (x,y) for the given problem is

60.

Used formula:-

LCM and HCF of two numbers a and b are L and H respectively then

The product of LCM and HCF is equal to the product of the two numbers .i.e. L×H = a×b

Answer 2

Answer:

60

Step-by-step explanation:

xy = 180

HCF(x,y) = 3

LCM(x,y) = ??

we know that,

HCF(x,y). × LCM(x,y) = x × y

3. ×. LCM(x, y). =. 180

LCM(x,y) =. 180 ÷ 3

LCM(x,y) =. 60.