Least Common Multiple of 7884/638, 6736/5887

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7884/638, 6736/5887 quickly i.e. 13276656/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7884/638, 6736/5887 is 13276656/29.

LCM(7884/638, 6736/5887) = 13276656/29

LCM of 7884/638, 6736/5887

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 7884/638,6736/5887

Given numbers are 7884/638,6736/5887

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 7884,6736

Least Common Multiple of Numerators i.e. LCM of 7884,6736 is 13276656.

GCF of Denominators means GCF of 638,5887 as per the given fractions.

GCF of 638,5887 is 29 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7884,6736

LCM of Fractions 7884/638,6736/5887 is 13276656/29

2 7884, 6736
2 3942, 3368
1971, 1684

∴ So the LCM of the given numbers is 2 x 2 x 1971 x 1684 = 13276656

Least Common Multiple of 7884,6736 with GCF Formula

Least Common Multiple of 7884,6736 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 7884,6736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7884,6736) = 4

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

GCF(7884,6736) x common factors =4 x 1 = 4

LCM(7884,6736) = ( 7884 × 6736 ) / 4

LCM(7884,6736) = 53106624 / 4

LCM(7884,6736) = 13276656


Lets's calculate GCF of 638,5887

29 638, 5887
22, 203

∴ So the GCF of the given numbers is 29 = 29

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13276656/29

Therefore the LCM of Fractions 7884/638,6736/5887 is 13276656/29

Greatest Common Factor of 638,5887 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,5887 By Matching Biggest Common Factor Method

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 5887

List of positive integer factors of 5887 that divides 5887 without a remainder.

1,7,29,203,841,5887

Greatest Common Factor

We found the factors 638,5887 . The biggest common factor number is the GCF number.
So the greatest common factor 638,5887 is 29.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7884/638, 6736/5887

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 7884/638, 6736/5887?

Answer: LCM of Numerators as per given numbers 7884/638, 6736/5887 is

LCM of Numerators i.e. for 7884,6736 is 13276656

GCF of denominators i.e. for 638,5887 is 29.

Thus, LCM of Fractions is 13276656/29.Finally, LCM of Fractions for 7884/638, 6736/5887 is 13276656/29.