Three numbers are in the proportion of 3 8 15 and...

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Three numbers are in the proportion of 3 : 8 : 15 and their LCM is 8280. What is their HCF?

A. 60

B. 69

C. 76

D. 57

Answer: Option B

Solution(By Examveda Team)

Three numbers are 3n, 8n, 15n
Its LCM = 360n
360n → 8280
n → $$\frac{{8280}}{{360}}$$
n = 23
Only option B is the product of 23
∴ 69 is the answer

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