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:

7560
7549
7471
7660

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 × 7

\;30=2 × 3 × 5

\;108=2^2 × 3^3

\;120=2^3 × 3 × 5

\;L C M=2^3 × 3^3 × 5 × 7

\;⇒ L C M=8 × 27 × 5 × 7

\;⇒ L C M=216 × 5 × 7

\;⇒ L C M=1080 × 7

\;⇒ L C M=7560

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