Least Common Multiple of 5168/127, 5314/318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5168/127, 5314/318 quickly i.e. 13731376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5168/127, 5314/318 is 13731376.

LCM(5168/127, 5314/318) = 13731376

LCM of 5168/127, 5314/318

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 5168/127,5314/318

Given numbers are 5168/127,5314/318

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 5168,5314

Least Common Multiple of Numerators i.e. LCM of 5168,5314 is 13731376.

GCF of Denominators means GCF of 127,318 as per the given fractions.

GCF of 127,318 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5168,5314

LCM of Fractions 5168/127,5314/318 is 13731376

2 5168, 5314
2584, 2657

∴ So the LCM of the given numbers is 2 x 2584 x 2657 = 13731376

Least Common Multiple of 5168,5314 with GCF Formula

Least Common Multiple of 5168,5314 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 5168,5314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5168,5314) = 2

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

GCF(5168,5314) x common factors =2 x 1 = 2

LCM(5168,5314) = ( 5168 × 5314 ) / 2

LCM(5168,5314) = 27462752 / 2

LCM(5168,5314) = 13731376


Lets's calculate GCF of 127,318

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13731376/1

Therefore the LCM of Fractions 5168/127,5314/318 is 13731376

Greatest Common Factor of 127,318 By Matching Biggest Common Factor Method

Greatest Common Factor of 127,318 By Matching Biggest Common Factor Method

Factors of 127

List of positive integer factors of 127 that divides 127 without a remainder.

1,127

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Greatest Common Factor

We found the factors 127,318 . The biggest common factor number is the GCF number.
So the greatest common factor 127,318 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 5168/127, 5314/318

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 5168/127, 5314/318?

Answer: LCM of Numerators as per given numbers 5168/127, 5314/318 is

LCM of Numerators i.e. for 5168,5314 is 13731376

GCF of denominators i.e. for 127,318 is 1.

Thus, LCM of Fractions is 13731376.Finally, LCM of Fractions for 5168/127, 5314/318 is 13731376.