The LCM of 24, 42 and 56 is: 

Correct option is B

Given:

Numbers are 24, 42 and 56 .

Solution: 

To find the Least Common Multiple (LCM) of 24, 42, and 56, we can use the prime factorization method.

Prime factorization of 24:

​$$24 = 2^3 \times 3$$​​

Prime factorization of 42:

​$$42 = 2 \times 3 \times 7$$​​

Prime factorization of 56:

​$$56 = 2^3 \times 7$$​​

The prime factors are 2, 3, and 7.The highest powers of these prime factors are:  $$2^3,3^1,7^1$$ .

​To find the LCM, multiply the highest powers of each prime factor:

​$$\text{LCM} = 2^3 \times 3^1 \times 7^1$$ 

$$\text{LCM} = 8 \times 3 \times 7 = 168$$ 

​The LCM of 24, 42, and 56 is 168.​