Least Common Multiple of 864, 188, 405

Q: How to Find the LCM of 864, 188, 405 ?

Least Common Multiple of 864, 188, 405 = 609120 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(864, 188, 405) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 47 = 609120.

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 864, 188, 405 i.e. 609120 smallest integer divisible by all numbers.

Least common multiple (LCM) of 864, 188, 405 is 609120.

LCM(864, 188, 405) = 609120

LCM of 864, 188, 405

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

Least Common Multiple of 864, 188, 405 by common division method
Least Common Multiple of 864, 188, 405 with GCF Formula

Least Common Multiple of 864,188,405

Least Common Multiple (LCM) of 864,188,405 is 609120

2	864, 188, 405
2	432, 94, 405
3	216, 47, 405
3	72, 47, 135
3	24, 47, 45
	8, 47, 15

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 8 x 47 x 15 = 609120

Least Common Multiple of 864,188,405 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 864,188,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,188,405) = 1

common factors(in case of two or more numbers have common factors) = 108

GCF(864,188,405) x common factors =1 x 108 = 108

LCM(864,188,405) = ( 864 × 188 × 405 ) / 108

LCM(864,188,405) = 65784960 / 108

LCM(864,188,405) = 609120

∴ Least Common Multiple of 864,188,405 is 609120

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 864, 188, 405

1. What is the LCM of 864, 188, 405?

Answer: LCM of 864, 188, 405 is 609120.

2. What are the Factors of 609120?

Answer: Factors of 609120 are . There are integers that are factors of 609120

3. How to Find the LCM of 864, 188, 405 ?

Least Common Multiple of 864, 188, 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(864, 188, 405) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 47 = 609120.