The LCM of 21, 24, 104 and 312 is:

Correct option is A

Given:

We need to find the Least Common Multiple (LCM) of 21, 24, 104, and 312.

Formula Used:

LCM of numbers = Product of the highest powers of prime factors of all the numbers.

Solution:

Prime factorization of each number:

21 = $$3 \times 7$$​​

24 = $$2^3 \times 3$$​​

104 = $$2^3 \times 13$$​​

312 = $$2^3 \times 3 \times 13$$​​

LCM = $$2^3 \times 3 \times 7 \times 13$$​​

= $$8 \times 3 \times 7 \times 13$$​ = 2184

Thus, the LCM of 21, 24, 104, and 312 is 2184.