Least Common Multiple of 592, 252, 144

Q: How to Find the LCM of 592, 252, 144 ?

Least Common Multiple of 592, 252, 144 = 37296 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(592, 252, 144) = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 37 = 37296.

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 592, 252, 144 i.e. 37296 smallest integer divisible by all numbers.

Least common multiple (LCM) of 592, 252, 144 is 37296.

LCM(592, 252, 144) = 37296

LCM of 592, 252, 144

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

Least Common Multiple of 592, 252, 144 by common division method
Least Common Multiple of 592, 252, 144 with GCF Formula

Least Common Multiple of 592,252,144

Least Common Multiple (LCM) of 592,252,144 is 37296

2	592, 252, 144
2	296, 126, 72
2	148, 63, 36
2	74, 63, 18
3	37, 63, 9
3	37, 21, 3
	37, 7, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 37 x 7 x 1 = 37296

Least Common Multiple of 592,252,144 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 592,252,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(592,252,144) = 4

common factors(in case of two or more numbers have common factors) = 144

GCF(592,252,144) x common factors =4 x 144 = 576

LCM(592,252,144) = ( 592 × 252 × 144 ) / 576

LCM(592,252,144) = 21482496 / 576

LCM(592,252,144) = 37296

∴ Least Common Multiple of 592,252,144 is 37296

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 592, 252, 144

1. What is the LCM of 592, 252, 144?

Answer: LCM of 592, 252, 144 is 37296.

2. What are the Factors of 37296?

Answer: Factors of 37296 are . There are integers that are factors of 37296

3. How to Find the LCM of 592, 252, 144 ?

Least Common Multiple of 592, 252, 144.

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(592, 252, 144) = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 37 = 37296.