The LCM and ratio of three numbers are 1386 and 3 7 11 respectively The sum of the greatest and leas...........

Quantitative Aptitude (CPO) LCM, HCF

The LCM and ratio of three numbers are 1386 and 3 : 7 : 11, respectively. The sum of the greatest and least numbers is:

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SSC CPO 11th Nov 2022 Shift 3

108

- Given: The LCM of three numbers is 1386, and their ratio is 3:7:11.

- Let's denote the numbers as 3x, 7x, and 11x, where x is a common factor.

- The LCM of 3x, 7x, and 11x should equal 1386.

- The LCM of these numbers is likely the product of their factors: LCM = 3 × 7 × 11 × x = 231x.

- Given LCM, 231x = 1386. Solving for x gives x = 6.

- The numbers are: 3x = 18, 7x = 42, 11x = 66.

- Sum of the greatest (66) and smallest (18): 66 + 18 = 84.

- Correct Answer: Option 3 - 84

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