Least Common Multiple of 2328/748, 3107/5432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2328/748, 3107/5432 quickly i.e. 1808274 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2328/748, 3107/5432 is 1808274.

LCM(2328/748, 3107/5432) = 1808274

LCM of 2328/748, 3107/5432

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 2328/748,3107/5432

Given numbers are 2328/748,3107/5432

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 2328,3107

Least Common Multiple of Numerators i.e. LCM of 2328,3107 is 7233096.

GCF of Denominators means GCF of 748,5432 as per the given fractions.

GCF of 748,5432 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2328,3107

LCM of Fractions 2328/748,3107/5432 is 1808274

Given numbers has no common factors except 1. So, there LCM is their product i.e 7233096

Least Common Multiple of 2328,3107 with GCF Formula

Least Common Multiple of 2328,3107 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 2328,3107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2328,3107) = 1

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

GCF(2328,3107) x common factors =1 x 1 = 1

LCM(2328,3107) = ( 2328 × 3107 ) / 1

LCM(2328,3107) = 7233096 / 1

LCM(2328,3107) = 7233096


Lets's calculate GCF of 748,5432

2 748, 5432
2 374, 2716
187, 1358

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7233096/4

Therefore the LCM of Fractions 2328/748,3107/5432 is 1808274

Greatest Common Factor of 748,5432 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,5432 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 5432

List of positive integer factors of 5432 that divides 5432 without a remainder.

1,2,4,7,8,14,28,56,97,194,388,679,776,1358,2716,5432

Greatest Common Factor

We found the factors 748,5432 . The biggest common factor number is the GCF number.
So the greatest common factor 748,5432 is 4.


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 2328/748, 3107/5432

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 2328/748, 3107/5432?

Answer: LCM of Numerators as per given numbers 2328/748, 3107/5432 is

LCM of Numerators i.e. for 2328,3107 is 7233096

GCF of denominators i.e. for 748,5432 is 4.

Thus, LCM of Fractions is 1808274.Finally, LCM of Fractions for 2328/748, 3107/5432 is 1808274.