Least Common Multiple of 685/878, 857/231, 734/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 685/878, 857/231, 734/240 quickly i.e. 430891030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 685/878, 857/231, 734/240 is 430891030.

LCM(685/878, 857/231, 734/240) = 430891030

LCM of 685/878, 857/231, 734/240

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 685/878,857/231,734/240

Given numbers are 685/878,857/231,734/240

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 685,857,734

Least Common Multiple of Numerators i.e. LCM of 685,857,734 is 430891030.

GCF of Denominators means GCF of 878,231,240 as per the given fractions.

GCF of 878,231,240 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 685,857,734

LCM of Fractions 685/878,857/231,734/240 is 430891030

Given numbers has no common factors except 1. So, there LCM is their product i.e 430891030

Least Common Multiple of 685,857,734 with GCF Formula

Least Common Multiple of 685,857,734 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 685,857,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,857,734) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(685,857,734) x common factors =1 x 1 = 1

LCM(685,857,734) = ( 685 × 857 × 734 ) / 1

LCM(685,857,734) = 430891030 / 1

LCM(685,857,734) = 430891030


Lets's calculate GCF of 878,231,240

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 430891030/1

Therefore the LCM of Fractions 685/878,857/231,734/240 is 430891030

Greatest Common Factor of 878,231,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 878,231,240 By Matching Biggest Common Factor Method

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 878,231,240 . The biggest common factor number is the GCF number.
So the greatest common factor 878,231,240 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 685/878, 857/231, 734/240

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 685/878, 857/231, 734/240?

Answer: LCM of Numerators as per given numbers 685/878, 857/231, 734/240 is

LCM of Numerators i.e. for 685,857,734 is 430891030

GCF of denominators i.e. for 878,231,240 is 1.

Thus, LCM of Fractions is 430891030.Finally, LCM of Fractions for 685/878, 857/231, 734/240 is 430891030.