Least Common Multiple of 567, 667, 378

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 567, 667, 378 i.e. 756378 smallest integer divisible by all numbers.

Least common multiple (LCM) of 567, 667, 378 is 756378.

LCM(567, 667, 378) = 756378

LCM of 567, 667, 378

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

LCM of:

Least Common Multiple of 567,667,378

Least Common Multiple (LCM) of 567,667,378 is 756378

3 567, 667, 378
3 189, 667, 126
3 63, 667, 42
7 21, 667, 14
3, 667, 2

∴ So the LCM of the given numbers is 3 x 3 x 3 x 7 x 3 x 667 x 2 = 756378

Least Common Multiple of 567,667,378 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 567,667,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(567,667,378) = 1

common factors(in case of two or more numbers have common factors) = 189

GCF(567,667,378) x common factors =1 x 189 = 189

LCM(567,667,378) = ( 567 × 667 × 378 ) / 189

LCM(567,667,378) = 142955442 / 189

LCM(567,667,378) = 756378

∴ Least Common Multiple of 567,667,378 is 756378

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 567, 667, 378

1. What is the LCM of 567, 667, 378?

Answer: LCM of 567, 667, 378 is 756378.

2. What are the Factors of 756378?

Answer: Factors of 756378 are . There are integers that are factors of 756378

3. How to Find the LCM of 567, 667, 378 ?

Least Common Multiple of 567, 667, 378.

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(567, 667, 378) = 2 x 3 x 3 x 3 x 3 x 7 x 23 x 29 = 756378.