Least Common Multiple of 975, 5700, 362

Q: How to Find the LCM of 975, 5700, 362 ?

Least Common Multiple of 975, 5700, 362 = 13412100 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(975, 5700, 362) = 2 x 2 x 3 x 5 x 5 x 13 x 19 x 181 = 13412100.

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 975, 5700, 362 i.e. 13412100 smallest integer divisible by all numbers.

Least common multiple (LCM) of 975, 5700, 362 is 13412100.

LCM(975, 5700, 362) = 13412100

LCM of 975, 5700, 362

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

Least Common Multiple of 975, 5700, 362 by common division method
Least Common Multiple of 975, 5700, 362 with GCF Formula

Least Common Multiple of 975,5700,362

Least Common Multiple (LCM) of 975,5700,362 is 13412100

2	975, 5700, 362
3	975, 2850, 181
5	325, 950, 181
5	65, 190, 181
	13, 38, 181

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 13 x 38 x 181 = 13412100

Least Common Multiple of 975,5700,362 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 975,5700,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,5700,362) = 1

common factors(in case of two or more numbers have common factors) = 150

GCF(975,5700,362) x common factors =1 x 150 = 150

LCM(975,5700,362) = ( 975 × 5700 × 362 ) / 150

LCM(975,5700,362) = 2011815000 / 150

LCM(975,5700,362) = 13412100

∴ Least Common Multiple of 975,5700,362 is 13412100

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 975, 5700, 362

1. What is the LCM of 975, 5700, 362?

Answer: LCM of 975, 5700, 362 is 13412100.

2. What are the Factors of 13412100?

Answer: Factors of 13412100 are . There are integers that are factors of 13412100

3. How to Find the LCM of 975, 5700, 362 ?

Least Common Multiple of 975, 5700, 362.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(975, 5700, 362) = 2 x 2 x 3 x 5 x 5 x 13 x 19 x 181 = 13412100.