Least Common Multiple of 286, 144, 507

Q: How to Find the LCM of 286, 144, 507 ?

Least Common Multiple of 286, 144, 507 = 267696 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(286, 144, 507) = 2 x 2 x 2 x 2 x 3 x 3 x 11 x 13 x 13 = 267696.

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 286, 144, 507 i.e. 267696 smallest integer divisible by all numbers.

Least common multiple (LCM) of 286, 144, 507 is 267696.

LCM(286, 144, 507) = 267696

LCM of 286, 144, 507

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

Least Common Multiple of 286, 144, 507 by common division method
Least Common Multiple of 286, 144, 507 with GCF Formula

Least Common Multiple of 286,144,507

Least Common Multiple (LCM) of 286,144,507 is 267696

2	286, 144, 507
3	143, 72, 507
13	143, 24, 169
	11, 24, 13

∴ So the LCM of the given numbers is 2 x 3 x 13 x 11 x 24 x 13 = 267696

Least Common Multiple of 286,144,507 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 286,144,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(286,144,507) = 1

common factors(in case of two or more numbers have common factors) = 78

GCF(286,144,507) x common factors =1 x 78 = 78

LCM(286,144,507) = ( 286 × 144 × 507 ) / 78

LCM(286,144,507) = 20880288 / 78

LCM(286,144,507) = 267696

∴ Least Common Multiple of 286,144,507 is 267696

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 286, 144, 507

1. What is the LCM of 286, 144, 507?

Answer: LCM of 286, 144, 507 is 267696.

2. What are the Factors of 267696?

Answer: Factors of 267696 are . There are integers that are factors of 267696

3. How to Find the LCM of 286, 144, 507 ?

Least Common Multiple of 286, 144, 507.

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(286, 144, 507) = 2 x 2 x 2 x 2 x 3 x 3 x 11 x 13 x 13 = 267696.