Least Common Multiple of 378, 675, 204

Q: How to Find the LCM of 378, 675, 204 ?

Least Common Multiple of 378, 675, 204 = 321300 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(378, 675, 204) = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 7 x 17 = 321300.

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 378, 675, 204 i.e. 321300 smallest integer divisible by all numbers.

Least common multiple (LCM) of 378, 675, 204 is 321300.

LCM(378, 675, 204) = 321300

LCM of 378, 675, 204

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

Least Common Multiple of 378, 675, 204 by common division method
Least Common Multiple of 378, 675, 204 with GCF Formula

Least Common Multiple of 378,675,204

Least Common Multiple (LCM) of 378,675,204 is 321300

2	378, 675, 204
3	189, 675, 102
3	63, 225, 34
3	21, 75, 34
	7, 25, 34

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 7 x 25 x 34 = 321300

Least Common Multiple of 378,675,204 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 378,675,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,675,204) = 3

common factors(in case of two or more numbers have common factors) = 54

GCF(378,675,204) x common factors =3 x 54 = 162

LCM(378,675,204) = ( 378 × 675 × 204 ) / 162

LCM(378,675,204) = 52050600 / 162

LCM(378,675,204) = 321300

∴ Least Common Multiple of 378,675,204 is 321300

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 378, 675, 204

1. What is the LCM of 378, 675, 204?

Answer: LCM of 378, 675, 204 is 321300.

2. What are the Factors of 321300?

Answer: Factors of 321300 are . There are integers that are factors of 321300

3. How to Find the LCM of 378, 675, 204 ?

Least Common Multiple of 378, 675, 204.

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(378, 675, 204) = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 7 x 17 = 321300.