Least Common Multiple of 720, 258, 240

Q: How to Find the LCM of 720, 258, 240 ?

Least Common Multiple of 720, 258, 240 = 30960 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(720, 258, 240) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 43 = 30960.

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 720, 258, 240 i.e. 30960 smallest integer divisible by all numbers.

Least common multiple (LCM) of 720, 258, 240 is 30960.

LCM(720, 258, 240) = 30960

LCM of 720, 258, 240

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

Least Common Multiple of 720, 258, 240 by common division method
Least Common Multiple of 720, 258, 240 with GCF Formula

Least Common Multiple of 720,258,240

Least Common Multiple (LCM) of 720,258,240 is 30960

2	720, 258, 240
2	360, 129, 120
2	180, 129, 60
2	90, 129, 30
3	45, 129, 15
5	5, 43, 15
	1, 43, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 1 x 43 x 3 = 30960

Least Common Multiple of 720,258,240 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 720,258,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(720,258,240) = 6

common factors(in case of two or more numbers have common factors) = 240

GCF(720,258,240) x common factors =6 x 240 = 1440

LCM(720,258,240) = ( 720 × 258 × 240 ) / 1440

LCM(720,258,240) = 44582400 / 1440

LCM(720,258,240) = 30960

∴ Least Common Multiple of 720,258,240 is 30960

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 720, 258, 240

1. What is the LCM of 720, 258, 240?

Answer: LCM of 720, 258, 240 is 30960.

2. What are the Factors of 30960?

Answer: Factors of 30960 are . There are integers that are factors of 30960

3. How to Find the LCM of 720, 258, 240 ?

Least Common Multiple of 720, 258, 240.

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(720, 258, 240) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 43 = 30960.