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The product of two numbers 5184 and their HCF is 24. What is their LCM?
Question

The product of two numbers 5184 and their HCF is 24. What is their LCM?

A.

324

B.

125

C.

343

D.

216

Correct option is D

Given:
The product of two numbers = 5184
The HCF of the two numbers = 24
Formula Used:
Product of numbers = LCM × HCF
Solution:
Product of numbers = LCM × HCF
5184=24×LCMLCM=518424LCM=2165184= 24 \times \text{LCM} \\\text{LCM} = \frac{5184}{24} \\\text{LCM} = 216​​
Thus, the LCM of the two numbers is 216

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