Least Common Multiple of 729, 120, 144

Q: How to Find the LCM of 729, 120, 144 ?

Least Common Multiple of 729, 120, 144 = 58320 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, 120, 144) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 5 = 58320.

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, 120, 144 i.e. 58320 smallest integer divisible by all numbers.

Least common multiple (LCM) of 729, 120, 144 is 58320.

LCM(729, 120, 144) = 58320

LCM of 729, 120, 144

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

Least Common Multiple of 729, 120, 144 by common division method
Least Common Multiple of 729, 120, 144 with GCF Formula

Least Common Multiple of 729,120,144

Least Common Multiple (LCM) of 729,120,144 is 58320

2	729, 120, 144
2	729, 60, 72
2	729, 30, 36
3	729, 15, 18
3	243, 5, 6
	81, 5, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 81 x 5 x 2 = 58320

Least Common Multiple of 729,120,144 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 729,120,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(729,120,144) = 3

common factors(in case of two or more numbers have common factors) = 72

GCF(729,120,144) x common factors =3 x 72 = 216

LCM(729,120,144) = ( 729 × 120 × 144 ) / 216

LCM(729,120,144) = 12597120 / 216

LCM(729,120,144) = 58320

∴ Least Common Multiple of 729,120,144 is 58320

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, 120, 144

1. What is the LCM of 729, 120, 144?

Answer: LCM of 729, 120, 144 is 58320.

2. What are the Factors of 58320?

Answer: Factors of 58320 are . There are integers that are factors of 58320

3. How to Find the LCM of 729, 120, 144 ?

Least Common Multiple of 729, 120, 144.

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, 120, 144) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 5 = 58320.