Least Common Multiple of 312, 3489

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 312, 3489 i.e. 362856 smallest integer divisible by all numbers.

Least common multiple (LCM) of 312, 3489 is 362856.

LCM(312, 3489) = 362856

LCM of 312, 3489

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

LCM of:

Least Common Multiple of 312,3489

Least Common Multiple (LCM) of 312,3489 is 362856

3 312, 3489
104, 1163

∴ So the LCM of the given numbers is 3 x 104 x 1163 = 362856

Least Common Multiple of 312,3489 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 312,3489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,3489) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(312,3489) x common factors =3 x 1 = 3

LCM(312,3489) = ( 312 × 3489 ) / 3

LCM(312,3489) = 1088568 / 3

LCM(312,3489) = 362856

∴ Least Common Multiple of 312,3489 is 362856

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 312, 3489

1. What is the LCM of 312, 3489?

Answer: LCM of 312, 3489 is 362856.

2. What are the Factors of 362856?

Answer: Factors of 362856 are . There are integers that are factors of 362856

3. How to Find the LCM of 312, 3489 ?

Least Common Multiple of 312, 3489.

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(312, 3489) = 2 x 2 x 2 x 3 x 13 x 1163 = 362856.