Least Common Multiple of 5755/138, 4305/115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5755/138, 4305/115 quickly i.e. 4955055/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5755/138, 4305/115 is 4955055/23.

LCM(5755/138, 4305/115) = 4955055/23

LCM of 5755/138, 4305/115

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 5755/138,4305/115

Given numbers are 5755/138,4305/115

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 5755,4305

Least Common Multiple of Numerators i.e. LCM of 5755,4305 is 4955055.

GCF of Denominators means GCF of 138,115 as per the given fractions.

GCF of 138,115 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5755,4305

LCM of Fractions 5755/138,4305/115 is 4955055/23

5 5755, 4305
1151, 861

∴ So the LCM of the given numbers is 5 x 1151 x 861 = 4955055

Least Common Multiple of 5755,4305 with GCF Formula

Least Common Multiple of 5755,4305 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 5755,4305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5755,4305) = 5

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

GCF(5755,4305) x common factors =5 x 1 = 5

LCM(5755,4305) = ( 5755 × 4305 ) / 5

LCM(5755,4305) = 24775275 / 5

LCM(5755,4305) = 4955055


Lets's calculate GCF of 138,115

23 138, 115
6, 5

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4955055/23

Therefore the LCM of Fractions 5755/138,4305/115 is 4955055/23

Greatest Common Factor of 138,115 By Matching Biggest Common Factor Method

Greatest Common Factor of 138,115 By Matching Biggest Common Factor Method

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Greatest Common Factor

We found the factors 138,115 . The biggest common factor number is the GCF number.
So the greatest common factor 138,115 is 23.


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 5755/138, 4305/115

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 5755/138, 4305/115?

Answer: LCM of Numerators as per given numbers 5755/138, 4305/115 is

LCM of Numerators i.e. for 5755,4305 is 4955055

GCF of denominators i.e. for 138,115 is 23.

Thus, LCM of Fractions is 4955055/23.Finally, LCM of Fractions for 5755/138, 4305/115 is 4955055/23.