Least Common Multiple of 23, 72, 46, 57

Q: How to Find the LCM of 23, 72, 46, 57 ?

Least Common Multiple of 23, 72, 46, 57 = 31464 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(23, 72, 46, 57) = 2 x 2 x 2 x 3 x 3 x 19 x 23 = 31464.

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 23, 72, 46, 57 i.e. 31464 smallest integer divisible by all numbers.

Least common multiple (LCM) of 23, 72, 46, 57 is 31464.

LCM(23, 72, 46, 57) = 31464

LCM of 23, 72, 46, 57

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

Least Common Multiple of 23, 72, 46, 57 by common division method
Least Common Multiple of 23, 72, 46, 57 with GCF Formula

Least Common Multiple of 23,72,46,57

Least Common Multiple (LCM) of 23,72,46,57 is 31464

2	23, 72, 46, 57
3	23, 36, 23, 57
23	23, 12, 23, 19
	1, 12, 1, 19

∴ So the LCM of the given numbers is 2 x 3 x 23 x 1 x 12 x 1 x 19 = 31464

Least Common Multiple of 23,72,46,57 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 23,72,46,57 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,72,46,57) = 1

common factors(in case of two or more numbers have common factors) = 138

GCF(23,72,46,57) x common factors =1 x 138 = 138

LCM(23,72,46,57) = ( 23 × 72 × 46 × 57 ) / 138

LCM(23,72,46,57) = 4342032 / 138

LCM(23,72,46,57) = 31464

∴ Least Common Multiple of 23,72,46,57 is 31464

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 23, 72, 46, 57

1. What is the LCM of 23, 72, 46, 57?

Answer: LCM of 23, 72, 46, 57 is 31464.

2. What are the Factors of 31464?

Answer: Factors of 31464 are . There are integers that are factors of 31464

3. How to Find the LCM of 23, 72, 46, 57 ?

Least Common Multiple of 23, 72, 46, 57.

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(23, 72, 46, 57) = 2 x 2 x 2 x 3 x 3 x 19 x 23 = 31464.