Least Common Multiple of 729, 288, 54

Q: How to Find the LCM of 729, 288, 54 ?

Least Common Multiple of 729, 288, 54 = 23328 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(729, 288, 54) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 = 23328.

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 729, 288, 54 i.e. 23328 smallest integer divisible by all numbers.

Least common multiple (LCM) of 729, 288, 54 is 23328.

LCM(729, 288, 54) = 23328

LCM of 729, 288, 54

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

Least Common Multiple of 729, 288, 54 by common division method
Least Common Multiple of 729, 288, 54 with GCF Formula

Least Common Multiple of 729,288,54

Least Common Multiple (LCM) of 729,288,54 is 23328

2	729, 288, 54
3	729, 144, 27
3	243, 48, 9
3	81, 16, 3
	27, 16, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 27 x 16 x 1 = 23328

Least Common Multiple of 729,288,54 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 729,288,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(729,288,54) = 9

common factors(in case of two or more numbers have common factors) = 54

GCF(729,288,54) x common factors =9 x 54 = 486

LCM(729,288,54) = ( 729 × 288 × 54 ) / 486

LCM(729,288,54) = 11337408 / 486

LCM(729,288,54) = 23328

∴ Least Common Multiple of 729,288,54 is 23328

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 729, 288, 54

1. What is the LCM of 729, 288, 54?

Answer: LCM of 729, 288, 54 is 23328.

2. What are the Factors of 23328?

Answer: Factors of 23328 are . There are integers that are factors of 23328

3. How to Find the LCM of 729, 288, 54 ?

Least Common Multiple of 729, 288, 54.

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(729, 288, 54) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 = 23328.