Question

the product of two number is 2160 if HCF is 12 find their LCM​

Answer 1

Answer:

36 and 60

Explanation:

1.If HCF=12

Product of numbers=2,160

Then LCM=Product of numbers÷HCF

=2,160÷12=180

180=12×3×5

Product of numbers=2,160=(12×3)×(12×5)

=36×60

2.Take any two numbers x and y. (remember, x and y are not the numbers which we have to actually find in question)

A/Q

12x X 12y=2160

xy=2160/144

xy =15

Therfore, x and y can be 3,5 or 5,3.

Therefore the two numbers are 12X3=36 , 12X5=60.

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Answer 2

Answer:

we know that,

LCM×HCF= Product of numbers

LCM× 12=2160

LCM= 2160÷12

LCM= 180