Least Common Multiple of 72, 75, 31, 600

Q: How to Find the LCM of 72, 75, 31, 600 ?

Least Common Multiple of 72, 75, 31, 600 = 55800 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(72, 75, 31, 600) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 31 = 55800.

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 72, 75, 31, 600 i.e. 55800 smallest integer divisible by all numbers.

Least common multiple (LCM) of 72, 75, 31, 600 is 55800.

LCM(72, 75, 31, 600) = 55800

LCM of 72, 75, 31, 600

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

Least Common Multiple of 72, 75, 31, 600 by common division method
Least Common Multiple of 72, 75, 31, 600 with GCF Formula

Least Common Multiple of 72,75,31,600

Least Common Multiple (LCM) of 72,75,31,600 is 55800

2	72, 75, 31, 600
2	36, 75, 31, 300
2	18, 75, 31, 150
3	9, 75, 31, 75
5	3, 25, 31, 25
5	3, 5, 31, 5
	3, 1, 31, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 5 x 3 x 1 x 31 x 1 = 55800

Least Common Multiple of 72,75,31,600 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 72,75,31,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,75,31,600) = 1

common factors(in case of two or more numbers have common factors) = 1800

GCF(72,75,31,600) x common factors =1 x 1800 = 1800

LCM(72,75,31,600) = ( 72 × 75 × 31 × 600 ) / 1800

LCM(72,75,31,600) = 100440000 / 1800

LCM(72,75,31,600) = 55800

∴ Least Common Multiple of 72,75,31,600 is 55800

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 72, 75, 31, 600

1. What is the LCM of 72, 75, 31, 600?

Answer: LCM of 72, 75, 31, 600 is 55800.

2. What are the Factors of 55800?

Answer: Factors of 55800 are . There are integers that are factors of 55800

3. How to Find the LCM of 72, 75, 31, 600 ?

Least Common Multiple of 72, 75, 31, 600.

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(72, 75, 31, 600) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 31 = 55800.