Least Common Multiple of 100, 750, 408

Q: How to Find the LCM of 100, 750, 408 ?

Least Common Multiple of 100, 750, 408 = 51000 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(100, 750, 408) = 2 x 2 x 2 x 3 x 5 x 5 x 5 x 17 = 51000.

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 100, 750, 408 i.e. 51000 smallest integer divisible by all numbers.

Least common multiple (LCM) of 100, 750, 408 is 51000.

LCM(100, 750, 408) = 51000

LCM of 100, 750, 408

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

Least Common Multiple of 100, 750, 408 by common division method
Least Common Multiple of 100, 750, 408 with GCF Formula

Least Common Multiple of 100,750,408

Least Common Multiple (LCM) of 100,750,408 is 51000

2	100, 750, 408
2	50, 375, 204
3	25, 375, 102
5	25, 125, 34
5	5, 25, 34
	1, 5, 34

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 5 x 1 x 5 x 34 = 51000

Least Common Multiple of 100,750,408 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 100,750,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,750,408) = 2

common factors(in case of two or more numbers have common factors) = 300

GCF(100,750,408) x common factors =2 x 300 = 600

LCM(100,750,408) = ( 100 × 750 × 408 ) / 600

LCM(100,750,408) = 30600000 / 600

LCM(100,750,408) = 51000

∴ Least Common Multiple of 100,750,408 is 51000

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 100, 750, 408

1. What is the LCM of 100, 750, 408?

Answer: LCM of 100, 750, 408 is 51000.

2. What are the Factors of 51000?

Answer: Factors of 51000 are . There are integers that are factors of 51000

3. How to Find the LCM of 100, 750, 408 ?

Least Common Multiple of 100, 750, 408.

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(100, 750, 408) = 2 x 2 x 2 x 3 x 5 x 5 x 5 x 17 = 51000.