Find the LCM of 84, 126 and 210.

Correct option is D

Given:

The numbers are 84, 126, and 210.

Concept Used:

The Least Common Multiple (LCM) is the smallest number that is a multiple of all the given numbers.
The factorization method involves finding the prime factorization of each number and then taking the highest power of each prime factor that appears in any of the numbers. 

​Solution:​

Prime Factorization of each number:
- 84 = 2² × 3 × 7
- 126 = 2 × 3² × 7
- 210 = 2 × 3 × 5 × 7

The LCM is the product of these highest powers:
LCM = 2² × 3² × 5 × 7
LCM = 4 × 9 × 5 × 7
LCM = 36 × 5 = 180
LCM = 180 × 7 = 1260
Thus, the LCM of 84, 126, and 210 is 1260.