Least Common Multiple of 432, 855, 189

Q: How to Find the LCM of 432, 855, 189 ?

Least Common Multiple of 432, 855, 189 = 287280 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(432, 855, 189) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 19 = 287280.

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 432, 855, 189 i.e. 287280 smallest integer divisible by all numbers.

Least common multiple (LCM) of 432, 855, 189 is 287280.

LCM(432, 855, 189) = 287280

LCM of 432, 855, 189

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

Least Common Multiple of 432, 855, 189 by common division method
Least Common Multiple of 432, 855, 189 with GCF Formula

Least Common Multiple of 432,855,189

Least Common Multiple (LCM) of 432,855,189 is 287280

3	432, 855, 189
3	144, 285, 63
3	48, 95, 21
	16, 95, 7

∴ So the LCM of the given numbers is 3 x 3 x 3 x 16 x 95 x 7 = 287280

Least Common Multiple of 432,855,189 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 432,855,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,855,189) = 9

common factors(in case of two or more numbers have common factors) = 27

GCF(432,855,189) x common factors =9 x 27 = 243

LCM(432,855,189) = ( 432 × 855 × 189 ) / 243

LCM(432,855,189) = 69809040 / 243

LCM(432,855,189) = 287280

∴ Least Common Multiple of 432,855,189 is 287280

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 432, 855, 189

1. What is the LCM of 432, 855, 189?

Answer: LCM of 432, 855, 189 is 287280.

2. What are the Factors of 287280?

Answer: Factors of 287280 are . There are integers that are factors of 287280

3. How to Find the LCM of 432, 855, 189 ?

Least Common Multiple of 432, 855, 189.

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(432, 855, 189) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 19 = 287280.