Least Common Multiple of 309, 2472, 969

Q: How to Find the LCM of 309, 2472, 969 ?

Least Common Multiple of 309, 2472, 969 = 798456 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(309, 2472, 969) = 2 x 2 x 2 x 3 x 17 x 19 x 103 = 798456.

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 309, 2472, 969 i.e. 798456 smallest integer divisible by all numbers.

Least common multiple (LCM) of 309, 2472, 969 is 798456.

LCM(309, 2472, 969) = 798456

LCM of 309, 2472, 969

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

Least Common Multiple of 309, 2472, 969 by common division method
Least Common Multiple of 309, 2472, 969 with GCF Formula

Least Common Multiple of 309,2472,969

Least Common Multiple (LCM) of 309,2472,969 is 798456

3	309, 2472, 969
103	103, 824, 323
	1, 8, 323

∴ So the LCM of the given numbers is 3 x 103 x 1 x 8 x 323 = 798456

Least Common Multiple of 309,2472,969 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 309,2472,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,2472,969) = 3

common factors(in case of two or more numbers have common factors) = 309

GCF(309,2472,969) x common factors =3 x 309 = 927

LCM(309,2472,969) = ( 309 × 2472 × 969 ) / 927

LCM(309,2472,969) = 740168712 / 927

LCM(309,2472,969) = 798456

∴ Least Common Multiple of 309,2472,969 is 798456

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 309, 2472, 969

1. What is the LCM of 309, 2472, 969?

Answer: LCM of 309, 2472, 969 is 798456.

2. What are the Factors of 798456?

Answer: Factors of 798456 are . There are integers that are factors of 798456

3. How to Find the LCM of 309, 2472, 969 ?

Least Common Multiple of 309, 2472, 969.

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(309, 2472, 969) = 2 x 2 x 2 x 3 x 17 x 19 x 103 = 798456.