Question

lcm of 2 7 14 21 42 ​

Answer 1

Answer:

=> 42

Step-by-step explanation:  

As per the given data, we have to find the LCM of the given numbers.

Given data:-

$2$, $7$, $14$, $21$, and $42$

To find:- The LCM of the given numbers.

For that first, we have to find the prime factors of the given numbers,

As $2$ is the prime factor.

As $7$ is the prime factor.

The prime factor for $14$ is 2 and 7.

The prime factor for $21$ is 3 and 7.

The prime factor for $42$ is 2, 3 and 7.

The prime factors $2$, $3$, and $7$ all appear once.

As we know that, the product of all factors with the greatest number of occurrences is the least common multiple.

LCM = $2\times 2\times 3$

LCM = $42$

Hence, The least common multiple of $2$, $7$, $14$, $21$, and $42$ is $42$ .

Answer 2

Answer:

$42$

Step-by-step explanation:

• Given numbers: $2,7,14,21,42$

• As we know, LCM of two or more numbers is nothing but the least common multiple of the given numbers

• To find the LCM of the given numbers, we need to factorise the numbers

• Prime factorization of $2=2$

• Prime factorization of $7=7$

• Prime factorization of $14=2\times7$

• Prime factorization of $21=3\times7$

• Prime factorization of $42=2\times3\times7$

• The prime factors $2,3,7$ are appeared once

• As we know that, the product of all factors with the greatest number of occurrences is the least common multiple.

• LCM of $2,7,14,21,42=2\times3\times7=42$

Therefore, the LCM of $2,7,14,21,42$ is $42$