Least Common Multiple of 840, 320, 282, 675

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, 320, 282, 675 i.e. 14212800 smallest integer divisible by all numbers.

Least common multiple (LCM) of 840, 320, 282, 675 is 14212800.

LCM(840, 320, 282, 675) = 14212800

LCM of 840, 320, 282, 675

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

LCM of:

Least Common Multiple of 840,320,282,675

Least Common Multiple (LCM) of 840,320,282,675 is 14212800

2 840, 320, 282, 675
2 420, 160, 141, 675
2 210, 80, 141, 675
3 105, 40, 141, 675
5 35, 40, 47, 225
7, 8, 47, 45

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 7 x 8 x 47 x 45 = 14212800

Least Common Multiple of 840,320,282,675 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 840,320,282,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,320,282,675) = 1

common factors(in case of two or more numbers have common factors) = 3600

GCF(840,320,282,675) x common factors =1 x 3600 = 3600

LCM(840,320,282,675) = ( 840 × 320 × 282 × 675 ) / 3600

LCM(840,320,282,675) = 51166080000 / 3600

LCM(840,320,282,675) = 14212800

∴ Least Common Multiple of 840,320,282,675 is 14212800

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 840, 320, 282, 675

1. What is the LCM of 840, 320, 282, 675?

Answer: LCM of 840, 320, 282, 675 is 14212800.

2. What are the Factors of 14212800?

Answer: Factors of 14212800 are . There are integers that are factors of 14212800

3. How to Find the LCM of 840, 320, 282, 675 ?

Least Common Multiple of 840, 320, 282, 675.

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, 320, 282, 675) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 7 x 47 = 14212800.