Least Common Multiple of 756, 456, 840

Q: How to Find the LCM of 756, 456, 840 ?

Least Common Multiple of 756, 456, 840 = 143640 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(756, 456, 840) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 19 = 143640.

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 756, 456, 840 i.e. 143640 smallest integer divisible by all numbers.

Least common multiple (LCM) of 756, 456, 840 is 143640.

LCM(756, 456, 840) = 143640

LCM of 756, 456, 840

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

Least Common Multiple of 756, 456, 840 by common division method
Least Common Multiple of 756, 456, 840 with GCF Formula

Least Common Multiple of 756,456,840

Least Common Multiple (LCM) of 756,456,840 is 143640

2	756, 456, 840
2	378, 228, 420
2	189, 114, 210
3	189, 57, 105
7	63, 19, 35
	9, 19, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 9 x 19 x 5 = 143640

Least Common Multiple of 756,456,840 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 756,456,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,456,840) = 12

common factors(in case of two or more numbers have common factors) = 168

GCF(756,456,840) x common factors =12 x 168 = 2016

LCM(756,456,840) = ( 756 × 456 × 840 ) / 2016

LCM(756,456,840) = 289578240 / 2016

LCM(756,456,840) = 143640

∴ Least Common Multiple of 756,456,840 is 143640

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 756, 456, 840

1. What is the LCM of 756, 456, 840?

Answer: LCM of 756, 456, 840 is 143640.

2. What are the Factors of 143640?

Answer: Factors of 143640 are . There are integers that are factors of 143640

3. How to Find the LCM of 756, 456, 840 ?

Least Common Multiple of 756, 456, 840.

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(756, 456, 840) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 19 = 143640.