Question

The LCM of two numbers is 360, then which of the following is not the HCF of the numbers.

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

If the two numbers have a highest common factor of 6 , then we can write one number as 6∗a and the other as 6∗b , where a and b are integers. We also know that the product of the two numbers is 360 , so we can write

6∗a∗6∗b=360

or

36∗ab=360

which after dividing both sides by 36 gives us

ab=10

The only positive integer solutions for that are

a=1,b=10

and

a=2,b=5

which means our possible pairs are 6,60 and 12,30

For both pairs, the LCM is easily seen to be 60.