Least Common Multiple of 116/59, 176/26, 418/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 116/59, 176/26, 418/872 quickly i.e. 96976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 116/59, 176/26, 418/872 is 96976.

LCM(116/59, 176/26, 418/872) = 96976

LCM of 116/59, 176/26, 418/872

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 116/59,176/26,418/872

Given numbers are 116/59,176/26,418/872

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 116,176,418

Least Common Multiple of Numerators i.e. LCM of 116,176,418 is 96976.

GCF of Denominators means GCF of 59,26,872 as per the given fractions.

GCF of 59,26,872 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 116,176,418

LCM of Fractions 116/59,176/26,418/872 is 96976

2 116, 176, 418
2 58, 88, 209
11 29, 44, 209
29, 4, 19

∴ So the LCM of the given numbers is 2 x 2 x 11 x 29 x 4 x 19 = 96976

Least Common Multiple of 116,176,418 with GCF Formula

Least Common Multiple of 116,176,418 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 116,176,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(116,176,418) = 2

common factors(in case of two or more numbers have common factors) = 44

GCF(116,176,418) x common factors =2 x 44 = 88

LCM(116,176,418) = ( 116 × 176 × 418 ) / 88

LCM(116,176,418) = 8533888 / 88

LCM(116,176,418) = 96976


Lets's calculate GCF of 59,26,872

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96976/1

Therefore the LCM of Fractions 116/59,176/26,418/872 is 96976

Greatest Common Factor of 59,26,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,26,872 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 59,26,872 . The biggest common factor number is the GCF number.
So the greatest common factor 59,26,872 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 116/59, 176/26, 418/872

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 116/59, 176/26, 418/872?

Answer: LCM of Numerators as per given numbers 116/59, 176/26, 418/872 is

LCM of Numerators i.e. for 116,176,418 is 96976

GCF of denominators i.e. for 59,26,872 is 1.

Thus, LCM of Fractions is 96976.Finally, LCM of Fractions for 116/59, 176/26, 418/872 is 96976.