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Product of Two Numbers = HCF X LCM of the Two Numbers

Is it possibl...

Question

Is it possible to have two numbers whose HCF is 18 and LCM is 760 ? give reason.

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Solution

Solution :
No , it is not possible
Reason :
HCF must be a factor of LCM . here $18$ is not factor of $760 .$

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Can two numbers have 18 as their HCF and 380 as their LCM? Give reasons.

Question 8
Can two numbers have 18 as their HCF and 380 as their LCM? Give reasons.

Q. Q. State Fundamental Theorem of Arithmetic. Is it possible for the HCF and LCM of two numbers to be 18 and 378 respectively. Justify your answer.

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Product of Two Numbers = HCF X LCM of the Two Numbers

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