Least Common Multiple of 4339/130, 7683/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4339/130, 7683/275 quickly i.e. 33336537/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4339/130, 7683/275 is 33336537/5.

LCM(4339/130, 7683/275) = 33336537/5

LCM of 4339/130, 7683/275

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 4339/130,7683/275

Given numbers are 4339/130,7683/275

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 4339,7683

Least Common Multiple of Numerators i.e. LCM of 4339,7683 is 33336537.

GCF of Denominators means GCF of 130,275 as per the given fractions.

GCF of 130,275 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4339,7683

LCM of Fractions 4339/130,7683/275 is 33336537/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 33336537

Least Common Multiple of 4339,7683 with GCF Formula

Least Common Multiple of 4339,7683 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 4339,7683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4339,7683) = 1

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

GCF(4339,7683) x common factors =1 x 1 = 1

LCM(4339,7683) = ( 4339 × 7683 ) / 1

LCM(4339,7683) = 33336537 / 1

LCM(4339,7683) = 33336537


Lets's calculate GCF of 130,275

5 130, 275
26, 55

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33336537/5

Therefore the LCM of Fractions 4339/130,7683/275 is 33336537/5

Greatest Common Factor of 130,275 By Matching Biggest Common Factor Method

Greatest Common Factor of 130,275 By Matching Biggest Common Factor Method

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Greatest Common Factor

We found the factors 130,275 . The biggest common factor number is the GCF number.
So the greatest common factor 130,275 is 5.


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 4339/130, 7683/275

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 4339/130, 7683/275?

Answer: LCM of Numerators as per given numbers 4339/130, 7683/275 is

LCM of Numerators i.e. for 4339,7683 is 33336537

GCF of denominators i.e. for 130,275 is 5.

Thus, LCM of Fractions is 33336537/5.Finally, LCM of Fractions for 4339/130, 7683/275 is 33336537/5.