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RRB ALP CBT I 26 Nov 2024 Shift 1 Paper

Question : 9 of 75

Marks: +1, -0

The LCM of 24, 42, and 56 is:

Solution:

Concept:

The LCM is the smallest number that is a multiple of all given numbers.

Explanation:

Find the prime factorization of each number.

24 = 2^3 \times 3

42 = 2 \times 3 \times 7

56 = 2^3 \times 7

Take the highest power of each prime present.

Highest powers are

2^3

3^1

, and

7^1

Multiply them:

2^3 \times 3 \times 7 = 8 \times 3 \times 7

8 \times 3 \times 7 = 168

So, the LCM of 24, 42, and 56 is 168.

Answer:

Option B,

168

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