Least Common Multiple of 840, 914, 730, 756

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 840, 914, 730, 756 i.e. 252209160 smallest integer divisible by all numbers.

Least common multiple (LCM) of 840, 914, 730, 756 is 252209160.

LCM(840, 914, 730, 756) = 252209160

LCM of 840, 914, 730, 756

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

LCM of:

Least Common Multiple of 840,914,730,756

Least Common Multiple (LCM) of 840,914,730,756 is 252209160

2 840, 914, 730, 756
2 420, 457, 365, 378
3 210, 457, 365, 189
5 70, 457, 365, 63
7 14, 457, 73, 63
2, 457, 73, 9

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 2 x 457 x 73 x 9 = 252209160

Least Common Multiple of 840,914,730,756 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 840,914,730,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,914,730,756) = 2

common factors(in case of two or more numbers have common factors) = 840

GCF(840,914,730,756) x common factors =2 x 840 = 1680

LCM(840,914,730,756) = ( 840 × 914 × 730 × 756 ) / 1680

LCM(840,914,730,756) = 423711388800 / 1680

LCM(840,914,730,756) = 252209160

∴ Least Common Multiple of 840,914,730,756 is 252209160

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 840, 914, 730, 756

1. What is the LCM of 840, 914, 730, 756?

Answer: LCM of 840, 914, 730, 756 is 252209160.

2. What are the Factors of 252209160?

Answer: Factors of 252209160 are . There are integers that are factors of 252209160

3. How to Find the LCM of 840, 914, 730, 756 ?

Least Common Multiple of 840, 914, 730, 756.

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(840, 914, 730, 756) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 73 x 457 = 252209160.