Question

Find the
LCM of 14,28,70

Answer 1

Answer:

The least common multiple of 14, 28 and 70 is 140.

Step-by-step explanation:

We think you wrote:

lcm(14,28,70)

This deals with the least common multiple (LCM) by prime factorization.

The prime factors of 14 are 2 and 7.

The prime factors of 28 are 2, 2 and 7.

The prime factors 5 and 7 occur one time, while 2 occurs more than once.

The least common multiple is the product of all factors in the greatest number of their occurrence

The least common multiple (LCM) can be used to add or subtract unlike fractions, or fractions with different denominators, by helping to find the lowest common denominator. LCM is also a tool for solving word problems in which the lowest common number or amount must be found among different quantities of things.

The least common multiple of 14, 28 and 70 is 140.

Answer 2

To find : LCM of $14 , 28 , 70$

Solution :

• To find the LCM of $14 , 28 , 70$

• We find prime factors of $14 , 28 , 70$

• Prime factors of $14 = 2\times 7$

• Prime factors of $28 = 2\times 2\times 7$
• Prime factors of $70 = 2\times 5\times 7$

• LCM = $2\times 2\times 5\times 7$

                $= 140$  

Hence . LCM of $14 , 28 , 70$ is $140$ .