Least Common Multiple of 5388/432, 3884/7017

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5388/432, 3884/7017 quickly i.e. 1743916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5388/432, 3884/7017 is 1743916.

LCM(5388/432, 3884/7017) = 1743916

LCM of 5388/432, 3884/7017

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 5388/432,3884/7017

Given numbers are 5388/432,3884/7017

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 5388,3884

Least Common Multiple of Numerators i.e. LCM of 5388,3884 is 5231748.

GCF of Denominators means GCF of 432,7017 as per the given fractions.

GCF of 432,7017 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5388,3884

LCM of Fractions 5388/432,3884/7017 is 1743916

2 5388, 3884
2 2694, 1942
1347, 971

∴ So the LCM of the given numbers is 2 x 2 x 1347 x 971 = 5231748

Least Common Multiple of 5388,3884 with GCF Formula

Least Common Multiple of 5388,3884 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 5388,3884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5388,3884) = 4

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

GCF(5388,3884) x common factors =4 x 1 = 4

LCM(5388,3884) = ( 5388 × 3884 ) / 4

LCM(5388,3884) = 20926992 / 4

LCM(5388,3884) = 5231748


Lets's calculate GCF of 432,7017

3 432, 7017
144, 2339

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5231748/3

Therefore the LCM of Fractions 5388/432,3884/7017 is 1743916

Greatest Common Factor of 432,7017 By Matching Biggest Common Factor Method

Greatest Common Factor of 432,7017 By Matching Biggest Common Factor Method

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 7017

List of positive integer factors of 7017 that divides 7017 without a remainder.

1,3,2339,7017

Greatest Common Factor

We found the factors 432,7017 . The biggest common factor number is the GCF number.
So the greatest common factor 432,7017 is 3.


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 5388/432, 3884/7017

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 5388/432, 3884/7017?

Answer: LCM of Numerators as per given numbers 5388/432, 3884/7017 is

LCM of Numerators i.e. for 5388,3884 is 5231748

GCF of denominators i.e. for 432,7017 is 3.

Thus, LCM of Fractions is 1743916.Finally, LCM of Fractions for 5388/432, 3884/7017 is 1743916.