Least Common Multiple of 23, 78, 360

Q: How to Find the LCM of 23, 78, 360 ?

Least Common Multiple of 23, 78, 360 = 107640 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(23, 78, 360) = 2 x 2 x 2 x 3 x 3 x 5 x 13 x 23 = 107640.

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 23, 78, 360 i.e. 107640 smallest integer divisible by all numbers.

Least common multiple (LCM) of 23, 78, 360 is 107640.

LCM(23, 78, 360) = 107640

LCM of 23, 78, 360

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

Least Common Multiple of 23, 78, 360 by common division method
Least Common Multiple of 23, 78, 360 with GCF Formula

Least Common Multiple of 23,78,360

Least Common Multiple (LCM) of 23,78,360 is 107640

2	23, 78, 360
3	23, 39, 180
	23, 13, 60

∴ So the LCM of the given numbers is 2 x 3 x 23 x 13 x 60 = 107640

Least Common Multiple of 23,78,360 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 23,78,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,78,360) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(23,78,360) x common factors =1 x 6 = 6

LCM(23,78,360) = ( 23 × 78 × 360 ) / 6

LCM(23,78,360) = 645840 / 6

LCM(23,78,360) = 107640

∴ Least Common Multiple of 23,78,360 is 107640

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 23, 78, 360

1. What is the LCM of 23, 78, 360?

Answer: LCM of 23, 78, 360 is 107640.

2. What are the Factors of 107640?

Answer: Factors of 107640 are . There are integers that are factors of 107640

3. How to Find the LCM of 23, 78, 360 ?

Least Common Multiple of 23, 78, 360.

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(23, 78, 360) = 2 x 2 x 2 x 3 x 3 x 5 x 13 x 23 = 107640.