Least Common Multiple of 5389/588, 7307/3920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5389/588, 7307/3920 quickly i.e. 39377423/196 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5389/588, 7307/3920 is 39377423/196.

LCM(5389/588, 7307/3920) = 39377423/196

LCM of 5389/588, 7307/3920

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 5389/588,7307/3920

Given numbers are 5389/588,7307/3920

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 5389,7307

Least Common Multiple of Numerators i.e. LCM of 5389,7307 is 39377423.

GCF of Denominators means GCF of 588,3920 as per the given fractions.

GCF of 588,3920 is 196 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5389,7307

LCM of Fractions 5389/588,7307/3920 is 39377423/196

Given numbers has no common factors except 1. So, there LCM is their product i.e 39377423

Least Common Multiple of 5389,7307 with GCF Formula

Least Common Multiple of 5389,7307 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 5389,7307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5389,7307) = 1

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

GCF(5389,7307) x common factors =1 x 1 = 1

LCM(5389,7307) = ( 5389 × 7307 ) / 1

LCM(5389,7307) = 39377423 / 1

LCM(5389,7307) = 39377423


Lets's calculate GCF of 588,3920

2 588, 3920
2 294, 1960
7 147, 980
7 21, 140
3, 20

∴ So the GCF of the given numbers is 2 x 2 x 7 x 7 = 196

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39377423/196

Therefore the LCM of Fractions 5389/588,7307/3920 is 39377423/196

Greatest Common Factor of 588,3920 By Matching Biggest Common Factor Method

Greatest Common Factor of 588,3920 By Matching Biggest Common Factor Method

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 3920

List of positive integer factors of 3920 that divides 3920 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,49,56,70,80,98,112,140,196,245,280,392,490,560,784,980,1960,3920

Greatest Common Factor

We found the factors 588,3920 . The biggest common factor number is the GCF number.
So the greatest common factor 588,3920 is 196.


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 5389/588, 7307/3920

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 5389/588, 7307/3920?

Answer: LCM of Numerators as per given numbers 5389/588, 7307/3920 is

LCM of Numerators i.e. for 5389,7307 is 39377423

GCF of denominators i.e. for 588,3920 is 196.

Thus, LCM of Fractions is 39377423/196.Finally, LCM of Fractions for 5389/588, 7307/3920 is 39377423/196.