Least Common Multiple of 1337/682, 5730/3920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1337/682, 5730/3920 quickly i.e. 20055 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1337/682, 5730/3920 is 20055.

LCM(1337/682, 5730/3920) = 20055

LCM of 1337/682, 5730/3920

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 1337/682,5730/3920

Given numbers are 1337/682,5730/3920

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 1337,5730

Least Common Multiple of Numerators i.e. LCM of 1337,5730 is 40110.

GCF of Denominators means GCF of 682,3920 as per the given fractions.

GCF of 682,3920 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1337,5730

LCM of Fractions 1337/682,5730/3920 is 20055

191 1337, 5730
7, 30

∴ So the LCM of the given numbers is 191 x 7 x 30 = 40110

Least Common Multiple of 1337,5730 with GCF Formula

Least Common Multiple of 1337,5730 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 1337,5730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1337,5730) = 191

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

GCF(1337,5730) x common factors =191 x 1 = 191

LCM(1337,5730) = ( 1337 × 5730 ) / 191

LCM(1337,5730) = 7661010 / 191

LCM(1337,5730) = 40110


Lets's calculate GCF of 682,3920

2 682, 3920
341, 1960

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40110/2

Therefore the LCM of Fractions 1337/682,5730/3920 is 20055

Greatest Common Factor of 682,3920 By Matching Biggest Common Factor Method

Greatest Common Factor of 682,3920 By Matching Biggest Common Factor Method

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

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 682,3920 . The biggest common factor number is the GCF number.
So the greatest common factor 682,3920 is 2.


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 1337/682, 5730/3920

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 1337/682, 5730/3920?

Answer: LCM of Numerators as per given numbers 1337/682, 5730/3920 is

LCM of Numerators i.e. for 1337,5730 is 40110

GCF of denominators i.e. for 682,3920 is 2.

Thus, LCM of Fractions is 20055.Finally, LCM of Fractions for 1337/682, 5730/3920 is 20055.