Least Common Multiple of 12, 585, 351

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 12, 585, 351 i.e. 7020 smallest integer divisible by all numbers.

Least common multiple (LCM) of 12, 585, 351 is 7020.

LCM(12, 585, 351) = 7020

LCM of 12, 585, 351

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

LCM of:

Least Common Multiple of 12,585,351

Least Common Multiple (LCM) of 12,585,351 is 7020

3 12, 585, 351
3 4, 195, 117
13 4, 65, 39
4, 5, 3

∴ So the LCM of the given numbers is 3 x 3 x 13 x 4 x 5 x 3 = 7020

Least Common Multiple of 12,585,351 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 12,585,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,585,351) = 3

common factors(in case of two or more numbers have common factors) = 117

GCF(12,585,351) x common factors =3 x 117 = 351

LCM(12,585,351) = ( 12 × 585 × 351 ) / 351

LCM(12,585,351) = 2464020 / 351

LCM(12,585,351) = 7020

∴ Least Common Multiple of 12,585,351 is 7020

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 12, 585, 351

1. What is the LCM of 12, 585, 351?

Answer: LCM of 12, 585, 351 is 7020.

2. What are the Factors of 7020?

Answer: Factors of 7020 are . There are integers that are factors of 7020

3. How to Find the LCM of 12, 585, 351 ?

Least Common Multiple of 12, 585, 351.

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(12, 585, 351) = 2 x 2 x 3 x 3 x 3 x 5 x 13 = 7020.