Least Common Multiple of 684, 312, 459

Q: How to Find the LCM of 684, 312, 459 ?

Least Common Multiple of 684, 312, 459 = 906984 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(684, 312, 459) = 2 x 2 x 2 x 3 x 3 x 3 x 13 x 17 x 19 = 906984.

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 684, 312, 459 i.e. 906984 smallest integer divisible by all numbers.

Least common multiple (LCM) of 684, 312, 459 is 906984.

LCM(684, 312, 459) = 906984

LCM of 684, 312, 459

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

Least Common Multiple of 684, 312, 459 by common division method
Least Common Multiple of 684, 312, 459 with GCF Formula

Least Common Multiple of 684,312,459

Least Common Multiple (LCM) of 684,312,459 is 906984

2	684, 312, 459
2	342, 156, 459
3	171, 78, 459
3	57, 26, 153
	19, 26, 51

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 19 x 26 x 51 = 906984

Least Common Multiple of 684,312,459 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 684,312,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,312,459) = 3

common factors(in case of two or more numbers have common factors) = 36

GCF(684,312,459) x common factors =3 x 36 = 108

LCM(684,312,459) = ( 684 × 312 × 459 ) / 108

LCM(684,312,459) = 97954272 / 108

LCM(684,312,459) = 906984

∴ Least Common Multiple of 684,312,459 is 906984

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 684, 312, 459

1. What is the LCM of 684, 312, 459?

Answer: LCM of 684, 312, 459 is 906984.

2. What are the Factors of 906984?

Answer: Factors of 906984 are . There are integers that are factors of 906984

3. How to Find the LCM of 684, 312, 459 ?

Least Common Multiple of 684, 312, 459.

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(684, 312, 459) = 2 x 2 x 2 x 3 x 3 x 3 x 13 x 17 x 19 = 906984.