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SSC GD Constable 4 Feb 2025 Shift 3 Paper

Section: Elementary Mathematics

Question : 45 of 80

Marks: +1, -0

The LCM of 56, 30, 108 and 120 is:

Solution:

LCM of given numbers is found using their prime factorization and then taking the highest power of each prime factor.

Calculation:

Prime factorization:

56=2^3 \times 7

30=2 \times 3 \times 5

108=2^2 \times 3^3

120=2^3 \times 3 \times 5

\text{L C M}=2^3 \times 3^3 \times 5 \times 7

\Rightarrow \text{L C M}=8 \times 27 \times 5 \times 7

\Rightarrow \text{L C M}=216 \times 5 \times 7

\Rightarrow \text{L C M}=1080 \times 7

\Rightarrow \text{L C M}=7560

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