Least Common Multiple of 876/95, 584/73, 186/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 876/95, 584/73, 186/140 quickly i.e. 54312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 876/95, 584/73, 186/140 is 54312.

LCM(876/95, 584/73, 186/140) = 54312

LCM of 876/95, 584/73, 186/140

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 876/95,584/73,186/140

Given numbers are 876/95,584/73,186/140

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 876,584,186

Least Common Multiple of Numerators i.e. LCM of 876,584,186 is 54312.

GCF of Denominators means GCF of 95,73,140 as per the given fractions.

GCF of 95,73,140 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 876,584,186

LCM of Fractions 876/95,584/73,186/140 is 54312

2 876, 584, 186
2 438, 292, 93
3 219, 146, 93
73 73, 146, 31
1, 2, 31

∴ So the LCM of the given numbers is 2 x 2 x 3 x 73 x 1 x 2 x 31 = 54312

Least Common Multiple of 876,584,186 with GCF Formula

Least Common Multiple of 876,584,186 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 876,584,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(876,584,186) = 2

common factors(in case of two or more numbers have common factors) = 876

GCF(876,584,186) x common factors =2 x 876 = 1752

LCM(876,584,186) = ( 876 × 584 × 186 ) / 1752

LCM(876,584,186) = 95154624 / 1752

LCM(876,584,186) = 54312


Lets's calculate GCF of 95,73,140

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54312/1

Therefore the LCM of Fractions 876/95,584/73,186/140 is 54312

Greatest Common Factor of 95,73,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,73,140 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 95,73,140 . The biggest common factor number is the GCF number.
So the greatest common factor 95,73,140 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 876/95, 584/73, 186/140

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 876/95, 584/73, 186/140?

Answer: LCM of Numerators as per given numbers 876/95, 584/73, 186/140 is

LCM of Numerators i.e. for 876,584,186 is 54312

GCF of denominators i.e. for 95,73,140 is 1.

Thus, LCM of Fractions is 54312.Finally, LCM of Fractions for 876/95, 584/73, 186/140 is 54312.