Question

find lcm of 5,7,14,35​

Answer 1

Answer:

70

Step-by-step explanation:

5 and 7 are factors of 35, we have to find only the LCM of 35 and 14.

Since 35 is the biggest number, try the multiples of 35.

5*2 = 70 = 14*5

Hence 70 is the answer

Answer 2

Answer:

The lcm of 5, 7, 14, and 35 is 70.

Step-by-step explanation:

Given: The numbers are 5, 7, 14, and 35.

We have to find the lcm of the above numbers.

• As we know, the lcm is the least number, which is exactly divisible by two or more numbers.

We are solving in the following way:

We have,

The numbers are 5, 7, 14, and 35.

First, we will find all prime factors for each number.

Prime Factorization of 5 is:

$5 \ is\ prime => 5^1$

Prime Factorization of 7 is:

$7 \ is\ prime => 7^1$

Prime Factorization of 14 is:

$2 \times 7 => 2^1 \times 7^1$

Prime Factorization of 35 is:

$5 \times 7 => 5^1 \times 7^1$

For each prime factor, we will find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is

2, 5, 7

Multiplying these factors together to find the LCM.

$LCM = 2 \times 5 \times 7 = 70$

Therefore,

LCM(5, 7, 14, 35) = 70