Least Common Multiple of 678, 760, 240

Q: How to Find the LCM of 678, 760, 240 ?

Least Common Multiple of 678, 760, 240 = 515280 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(678, 760, 240) = 2 x 2 x 2 x 2 x 3 x 5 x 19 x 113 = 515280.

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 678, 760, 240 i.e. 515280 smallest integer divisible by all numbers.

Least common multiple (LCM) of 678, 760, 240 is 515280.

LCM(678, 760, 240) = 515280

LCM of 678, 760, 240

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

Least Common Multiple of 678, 760, 240 by common division method
Least Common Multiple of 678, 760, 240 with GCF Formula

Least Common Multiple of 678,760,240

Least Common Multiple (LCM) of 678,760,240 is 515280

2	678, 760, 240
2	339, 380, 120
2	339, 190, 60
3	339, 95, 30
5	113, 95, 10
	113, 19, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 113 x 19 x 2 = 515280

Least Common Multiple of 678,760,240 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 678,760,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,760,240) = 2

common factors(in case of two or more numbers have common factors) = 120

GCF(678,760,240) x common factors =2 x 120 = 240

LCM(678,760,240) = ( 678 × 760 × 240 ) / 240

LCM(678,760,240) = 123667200 / 240

LCM(678,760,240) = 515280

∴ Least Common Multiple of 678,760,240 is 515280

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 678, 760, 240

1. What is the LCM of 678, 760, 240?

Answer: LCM of 678, 760, 240 is 515280.

2. What are the Factors of 515280?

Answer: Factors of 515280 are . There are integers that are factors of 515280

3. How to Find the LCM of 678, 760, 240 ?

Least Common Multiple of 678, 760, 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(678, 760, 240) = 2 x 2 x 2 x 2 x 3 x 5 x 19 x 113 = 515280.