Least Common Multiple of 30, 78, 39, 144

Q: How to Find the LCM of 30, 78, 39, 144 ?

Least Common Multiple of 30, 78, 39, 144 = 9360 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(30, 78, 39, 144) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 13 = 9360.

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 30, 78, 39, 144 i.e. 9360 smallest integer divisible by all numbers.

Least common multiple (LCM) of 30, 78, 39, 144 is 9360.

LCM(30, 78, 39, 144) = 9360

LCM of 30, 78, 39, 144

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

Least Common Multiple of 30, 78, 39, 144 by common division method
Least Common Multiple of 30, 78, 39, 144 with GCF Formula

Least Common Multiple of 30,78,39,144

Least Common Multiple (LCM) of 30,78,39,144 is 9360

2	30, 78, 39, 144
3	15, 39, 39, 72
13	5, 13, 13, 24
	5, 1, 1, 24

∴ So the LCM of the given numbers is 2 x 3 x 13 x 5 x 1 x 1 x 24 = 9360

Least Common Multiple of 30,78,39,144 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 30,78,39,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,78,39,144) = 3

common factors(in case of two or more numbers have common factors) = 468

GCF(30,78,39,144) x common factors =3 x 468 = 1404

LCM(30,78,39,144) = ( 30 × 78 × 39 × 144 ) / 1404

LCM(30,78,39,144) = 13141440 / 1404

LCM(30,78,39,144) = 9360

∴ Least Common Multiple of 30,78,39,144 is 9360

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 30, 78, 39, 144

1. What is the LCM of 30, 78, 39, 144?

Answer: LCM of 30, 78, 39, 144 is 9360.

2. What are the Factors of 9360?

Answer: Factors of 9360 are . There are integers that are factors of 9360

3. How to Find the LCM of 30, 78, 39, 144 ?

Least Common Multiple of 30, 78, 39, 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(30, 78, 39, 144) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 13 = 9360.