Least Common Multiple of 396, 627, 312

Q: How to Find the LCM of 396, 627, 312 ?

Least Common Multiple of 396, 627, 312 = 195624 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(396, 627, 312) = 2 x 2 x 2 x 3 x 3 x 11 x 13 x 19 = 195624.

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 396, 627, 312 i.e. 195624 smallest integer divisible by all numbers.

Least common multiple (LCM) of 396, 627, 312 is 195624.

LCM(396, 627, 312) = 195624

LCM of 396, 627, 312

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

Least Common Multiple of 396, 627, 312 by common division method
Least Common Multiple of 396, 627, 312 with GCF Formula

Least Common Multiple of 396,627,312

Least Common Multiple (LCM) of 396,627,312 is 195624

2	396, 627, 312
2	198, 627, 156
3	99, 627, 78
11	33, 209, 26
	3, 19, 26

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 3 x 19 x 26 = 195624

Least Common Multiple of 396,627,312 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 396,627,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(396,627,312) = 3

common factors(in case of two or more numbers have common factors) = 132

GCF(396,627,312) x common factors =3 x 132 = 396

LCM(396,627,312) = ( 396 × 627 × 312 ) / 396

LCM(396,627,312) = 77467104 / 396

LCM(396,627,312) = 195624

∴ Least Common Multiple of 396,627,312 is 195624

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 396, 627, 312

1. What is the LCM of 396, 627, 312?

Answer: LCM of 396, 627, 312 is 195624.

2. What are the Factors of 195624?

Answer: Factors of 195624 are . There are integers that are factors of 195624

3. How to Find the LCM of 396, 627, 312 ?

Least Common Multiple of 396, 627, 312.

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(396, 627, 312) = 2 x 2 x 2 x 3 x 3 x 11 x 13 x 19 = 195624.