Least Common Multiple of 5107/738, 5367/5346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5107/738, 5367/5346 quickly i.e. 27409269/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5107/738, 5367/5346 is 27409269/18.

LCM(5107/738, 5367/5346) = 27409269/18

LCM of 5107/738, 5367/5346

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 5107/738,5367/5346

Given numbers are 5107/738,5367/5346

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 5107,5367

Least Common Multiple of Numerators i.e. LCM of 5107,5367 is 27409269.

GCF of Denominators means GCF of 738,5346 as per the given fractions.

GCF of 738,5346 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5107,5367

LCM of Fractions 5107/738,5367/5346 is 27409269/18

Given numbers has no common factors except 1. So, there LCM is their product i.e 27409269

Least Common Multiple of 5107,5367 with GCF Formula

Least Common Multiple of 5107,5367 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 5107,5367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5107,5367) = 1

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

GCF(5107,5367) x common factors =1 x 1 = 1

LCM(5107,5367) = ( 5107 × 5367 ) / 1

LCM(5107,5367) = 27409269 / 1

LCM(5107,5367) = 27409269


Lets's calculate GCF of 738,5346

2 738, 5346
3 369, 2673
3 123, 891
41, 297

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27409269/18

Therefore the LCM of Fractions 5107/738,5367/5346 is 27409269/18

Greatest Common Factor of 738,5346 By Matching Biggest Common Factor Method

Greatest Common Factor of 738,5346 By Matching Biggest Common Factor Method

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 5346

List of positive integer factors of 5346 that divides 5346 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,81,99,162,198,243,297,486,594,891,1782,2673,5346

Greatest Common Factor

We found the factors 738,5346 . The biggest common factor number is the GCF number.
So the greatest common factor 738,5346 is 18.


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 5107/738, 5367/5346

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 5107/738, 5367/5346?

Answer: LCM of Numerators as per given numbers 5107/738, 5367/5346 is

LCM of Numerators i.e. for 5107,5367 is 27409269

GCF of denominators i.e. for 738,5346 is 18.

Thus, LCM of Fractions is 27409269/18.Finally, LCM of Fractions for 5107/738, 5367/5346 is 27409269/18.