Least Common Multiple of 189, 540, 747

Q: How to Find the LCM of 189, 540, 747 ?

Least Common Multiple of 189, 540, 747 = 313740 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(189, 540, 747) = 2 x 2 x 3 x 3 x 3 x 5 x 7 x 83 = 313740.

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 189, 540, 747 i.e. 313740 smallest integer divisible by all numbers.

Least common multiple (LCM) of 189, 540, 747 is 313740.

LCM(189, 540, 747) = 313740

LCM of 189, 540, 747

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

Least Common Multiple of 189, 540, 747 by common division method
Least Common Multiple of 189, 540, 747 with GCF Formula

Least Common Multiple of 189,540,747

Least Common Multiple (LCM) of 189,540,747 is 313740

3	189, 540, 747
3	63, 180, 249
3	21, 60, 83
	7, 20, 83

∴ So the LCM of the given numbers is 3 x 3 x 3 x 7 x 20 x 83 = 313740

Least Common Multiple of 189,540,747 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 189,540,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(189,540,747) = 9

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

GCF(189,540,747) x common factors =9 x 27 = 243

LCM(189,540,747) = ( 189 × 540 × 747 ) / 243

LCM(189,540,747) = 76238820 / 243

LCM(189,540,747) = 313740

∴ Least Common Multiple of 189,540,747 is 313740

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 189, 540, 747

1. What is the LCM of 189, 540, 747?

Answer: LCM of 189, 540, 747 is 313740.

2. What are the Factors of 313740?

Answer: Factors of 313740 are . There are integers that are factors of 313740

3. How to Find the LCM of 189, 540, 747 ?

Least Common Multiple of 189, 540, 747.

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(189, 540, 747) = 2 x 2 x 3 x 3 x 3 x 5 x 7 x 83 = 313740.