Test Index

RRB ALP CBT I 25 Nov 2024 Shift 2 Paper

Question : 23 of 75

Marks: +1, -0

The LCM of 84, 105 and 140 is:

Solution:

Concept:

LCM is the smallest number that is exactly divisible by all the given numbers.

Explanation:

Write each number as a product of prime factors.

84 = 2^2 \times 3 \times 7

105 = 3 \times 5 \times 7

140 = 2^2 \times 5 \times 7

Take the highest power of each prime present:

2^2

3

5

7

So, LCM =

2^2 \times 3 \times 5 \times 7 = 420

Answer:

The LCM of 84, 105 and 140 is

420

, which is option D.

Go to Question:

Prev Question

Next Question