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SSC GD Constable 4 Feb 2025 Shift 1 Paper

Section: Elementary Mathematics

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Question : 47 of 80

Marks: +1, -0

The LCM of 28, 60, 120 and 135 is:

7626
7560
7569
7608

Solution:

LCM of multiple numbers is the smallest number that is divisible by each of the numbers.

Calculation:

Prime factorization:

\;28=2^2 \times 7

\;60=2^2 \times 3 \times 5

\;120=2^3 \times 3 \times 5

\;135=3^3 \times 5

\;\;\text{ LCM }\;=\;\text{ Highest power of all primes }\;

\;\Rightarrow \;\text{ LCM }\;=2^3 \times 3^3 \times 5 \times 7

\;\Rightarrow \;\text{ LCM }\;=8 \times 27 \times 5 \times 7

\;\Rightarrow \;\text{ LCM }\;=7560

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