Least Common Multiple of 72, 57, 741

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, 57, 741 i.e. 17784 smallest integer divisible by all numbers.

Least common multiple (LCM) of 72, 57, 741 is 17784.

LCM(72, 57, 741) = 17784

LCM of 72, 57, 741

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

LCM of:

Least Common Multiple of 72,57,741

Least Common Multiple (LCM) of 72,57,741 is 17784

3 72, 57, 741
19 24, 19, 247
24, 1, 13

∴ So the LCM of the given numbers is 3 x 19 x 24 x 1 x 13 = 17784

Least Common Multiple of 72,57,741 with GCF Formula

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

We need to calculate greatest common factor of 72,57,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,57,741) = 3

common factors(in case of two or more numbers have common factors) = 57

GCF(72,57,741) x common factors =3 x 57 = 171

LCM(72,57,741) = ( 72 × 57 × 741 ) / 171

LCM(72,57,741) = 3041064 / 171

LCM(72,57,741) = 17784

∴ Least Common Multiple of 72,57,741 is 17784

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, 57, 741

1. What is the LCM of 72, 57, 741?

Answer: LCM of 72, 57, 741 is 17784.

2. What are the Factors of 17784?

Answer: Factors of 17784 are . There are integers that are factors of 17784

3. How to Find the LCM of 72, 57, 741 ?

Least Common Multiple of 72, 57, 741.

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, 57, 741) = 2 x 2 x 2 x 3 x 3 x 13 x 19 = 17784.