Least Common Multiple of 279, 105, 405

Q: How to Find the LCM of 279, 105, 405 ?

Least Common Multiple of 279, 105, 405 = 87885 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(279, 105, 405) = 3 x 3 x 3 x 3 x 5 x 7 x 31 = 87885.

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 279, 105, 405 i.e. 87885 smallest integer divisible by all numbers.

Least common multiple (LCM) of 279, 105, 405 is 87885.

LCM(279, 105, 405) = 87885

LCM of 279, 105, 405

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

Least Common Multiple of 279, 105, 405 by common division method
Least Common Multiple of 279, 105, 405 with GCF Formula

Least Common Multiple of 279,105,405

Least Common Multiple (LCM) of 279,105,405 is 87885

3	279, 105, 405
3	93, 35, 135
5	31, 35, 45
	31, 7, 9

∴ So the LCM of the given numbers is 3 x 3 x 5 x 31 x 7 x 9 = 87885

Least Common Multiple of 279,105,405 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 279,105,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,105,405) = 3

common factors(in case of two or more numbers have common factors) = 45

GCF(279,105,405) x common factors =3 x 45 = 135

LCM(279,105,405) = ( 279 × 105 × 405 ) / 135

LCM(279,105,405) = 11864475 / 135

LCM(279,105,405) = 87885

∴ Least Common Multiple of 279,105,405 is 87885

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 279, 105, 405

1. What is the LCM of 279, 105, 405?

Answer: LCM of 279, 105, 405 is 87885.

2. What are the Factors of 87885?

Answer: Factors of 87885 are . There are integers that are factors of 87885

3. How to Find the LCM of 279, 105, 405 ?

Least Common Multiple of 279, 105, 405.

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(279, 105, 405) = 3 x 3 x 3 x 3 x 5 x 7 x 31 = 87885.