Question

15. Can two numbers have 15 as HCF and 350 as LCM? Why
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Answer 1

Answer:

HCF - Highest Common Factor

For two numbers, their HCF is the largest number which divides both.

LCM - Least Common Multiple

For two numbers, their LCM is the smallest number which is a multiple both.

Now, HCF divides both numbers. And both numbers perfectly divide LCM.

So, HCF must perfectly divide. LCM.

In other words, for LCM÷HCF, remainder must be zero.

Here, LCM = 350

And, HCF = 15

Clearly, 350/15 = 23.33 (remainder not zero)

Thus, there do not exist two numbers whose HCF is 15 and LCM is 350

Step-by-step explanation:

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Answer 2

Answer:

Because when we divide the HCF then answer is 15 and LCM = 350