Least Common Multiple of 144, 180, 300

Q: How to Find the LCM of 144, 180, 300 ?

Least Common Multiple of 144, 180, 300 = 3600 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(144, 180, 300) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 = 3600.

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 144, 180, 300 i.e. 3600 smallest integer divisible by all numbers.

Least common multiple (LCM) of 144, 180, 300 is 3600.

LCM(144, 180, 300) = 3600

LCM of 144, 180, 300

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

Least Common Multiple of 144, 180, 300 by common division method
Least Common Multiple of 144, 180, 300 with GCF Formula

Least Common Multiple of 144,180,300

Least Common Multiple (LCM) of 144,180,300 is 3600

2	144, 180, 300
2	72, 90, 150
3	36, 45, 75
3	12, 15, 25
5	4, 5, 25
	4, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 4 x 1 x 5 = 3600

Least Common Multiple of 144,180,300 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 144,180,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,180,300) = 12

common factors(in case of two or more numbers have common factors) = 180

GCF(144,180,300) x common factors =12 x 180 = 2160

LCM(144,180,300) = ( 144 × 180 × 300 ) / 2160

LCM(144,180,300) = 7776000 / 2160

LCM(144,180,300) = 3600

∴ Least Common Multiple of 144,180,300 is 3600

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 144, 180, 300

1. What is the LCM of 144, 180, 300?

Answer: LCM of 144, 180, 300 is 3600.

2. What are the Factors of 3600?

Answer: Factors of 3600 are . There are integers that are factors of 3600

3. How to Find the LCM of 144, 180, 300 ?

Least Common Multiple of 144, 180, 300.

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(144, 180, 300) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 = 3600.