Least Common Multiple of 567, 231, 506

Q: How to Find the LCM of 567, 231, 506 ?

Least Common Multiple of 567, 231, 506 = 286902 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(567, 231, 506) = 2 x 3 x 3 x 3 x 3 x 7 x 11 x 23 = 286902.

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 567, 231, 506 i.e. 286902 smallest integer divisible by all numbers.

Least common multiple (LCM) of 567, 231, 506 is 286902.

LCM(567, 231, 506) = 286902

LCM of 567, 231, 506

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

Least Common Multiple of 567, 231, 506 by common division method
Least Common Multiple of 567, 231, 506 with GCF Formula

Least Common Multiple of 567,231,506

Least Common Multiple (LCM) of 567,231,506 is 286902

3	567, 231, 506
7	189, 77, 506
11	27, 11, 506
	27, 1, 46

∴ So the LCM of the given numbers is 3 x 7 x 11 x 27 x 1 x 46 = 286902

Least Common Multiple of 567,231,506 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 567,231,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(567,231,506) = 1

common factors(in case of two or more numbers have common factors) = 231

GCF(567,231,506) x common factors =1 x 231 = 231

LCM(567,231,506) = ( 567 × 231 × 506 ) / 231

LCM(567,231,506) = 66274362 / 231

LCM(567,231,506) = 286902

∴ Least Common Multiple of 567,231,506 is 286902

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 567, 231, 506

1. What is the LCM of 567, 231, 506?

Answer: LCM of 567, 231, 506 is 286902.

2. What are the Factors of 286902?

Answer: Factors of 286902 are . There are integers that are factors of 286902

3. How to Find the LCM of 567, 231, 506 ?

Least Common Multiple of 567, 231, 506.

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(567, 231, 506) = 2 x 3 x 3 x 3 x 3 x 7 x 11 x 23 = 286902.