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If X, Y and Z are three numbers, such that LCM of X and Y is X and LCM of Y and Z is Y, then find the HCF of X, Y and Z.

If X, Y and Z are three numbers, such that LCM of X and Y is X and LCM of Y and Z is Y, then find the HCF of X, Y and Z. Correct Answer Z

Let X=168, Y=84 and Z=21, such that LCM of 168 and 84 is 168 and LCM of 84 and 21 is 84, such that it satisfies all the given conditions. Therefore, HCF of 168, 84 and 21 is 21 i.e., Z.

Related Questions

Consider the following in respect of natural numbers a, b and c: 1. LCM(ab, ac) = a × LCM(b, c) 2. HCF(ab, ac) = a × HCF(b, c) 3. HCF (a, b) < LCM(a, b) 4. HCF(a, b) divides LCM(a, b) Where, a ≠ b ≠ c  Which of the above are correct?
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