Least Common Multiple of 723, 708, 645, 378, 540

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 723, 708, 645, 378, 540 i.e. 2311156260 smallest integer divisible by all numbers.

Least common multiple (LCM) of 723, 708, 645, 378, 540 is 2311156260.

LCM(723, 708, 645, 378, 540) = 2311156260

LCM of 723, 708, 645, 378, 540

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

LCM of:

Least Common Multiple of 723,708,645,378,540

Least Common Multiple (LCM) of 723,708,645,378,540 is 2311156260

2 723, 708, 645, 378, 540
2 723, 354, 645, 189, 270
3 723, 177, 645, 189, 135
3 241, 59, 215, 63, 45
3 241, 59, 215, 21, 15
5 241, 59, 215, 7, 5
241, 59, 43, 7, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 5 x 241 x 59 x 43 x 7 x 1 = 2311156260

Least Common Multiple of 723,708,645,378,540 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 723,708,645,378,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,708,645,378,540) = 3

common factors(in case of two or more numbers have common factors) = 9720

GCF(723,708,645,378,540) x common factors =3 x 9720 = 29160

LCM(723,708,645,378,540) = ( 723 × 708 × 645 × 378 × 540 ) / 29160

LCM(723,708,645,378,540) = 67393316541600 / 29160

LCM(723,708,645,378,540) = 2311156260

∴ Least Common Multiple of 723,708,645,378,540 is 2311156260

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 723, 708, 645, 378, 540

1. What is the LCM of 723, 708, 645, 378, 540?

Answer: LCM of 723, 708, 645, 378, 540 is 2311156260.

2. What are the Factors of 2311156260?

Answer: Factors of 2311156260 are . There are integers that are factors of 2311156260

3. How to Find the LCM of 723, 708, 645, 378, 540 ?

Least Common Multiple of 723, 708, 645, 378, 540.

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(723, 708, 645, 378, 540) = 2 x 2 x 3 x 3 x 3 x 5 x 7 x 43 x 59 x 241 = 2311156260.