Least Common Multiple of 5820/208, 3687/3389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5820/208, 3687/3389 quickly i.e. 7152780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5820/208, 3687/3389 is 7152780.

LCM(5820/208, 3687/3389) = 7152780

LCM of 5820/208, 3687/3389

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 5820/208,3687/3389

Given numbers are 5820/208,3687/3389

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 5820,3687

Least Common Multiple of Numerators i.e. LCM of 5820,3687 is 7152780.

GCF of Denominators means GCF of 208,3389 as per the given fractions.

GCF of 208,3389 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5820,3687

LCM of Fractions 5820/208,3687/3389 is 7152780

3 5820, 3687
1940, 1229

∴ So the LCM of the given numbers is 3 x 1940 x 1229 = 7152780

Least Common Multiple of 5820,3687 with GCF Formula

Least Common Multiple of 5820,3687 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 5820,3687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5820,3687) = 3

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

GCF(5820,3687) x common factors =3 x 1 = 3

LCM(5820,3687) = ( 5820 × 3687 ) / 3

LCM(5820,3687) = 21458340 / 3

LCM(5820,3687) = 7152780


Lets's calculate GCF of 208,3389

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7152780/1

Therefore the LCM of Fractions 5820/208,3687/3389 is 7152780

Greatest Common Factor of 208,3389 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,3389 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 3389

List of positive integer factors of 3389 that divides 3389 without a remainder.

1,3389

Greatest Common Factor

We found the factors 208,3389 . The biggest common factor number is the GCF number.
So the greatest common factor 208,3389 is 1.


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 5820/208, 3687/3389

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 5820/208, 3687/3389?

Answer: LCM of Numerators as per given numbers 5820/208, 3687/3389 is

LCM of Numerators i.e. for 5820,3687 is 7152780

GCF of denominators i.e. for 208,3389 is 1.

Thus, LCM of Fractions is 7152780.Finally, LCM of Fractions for 5820/208, 3687/3389 is 7152780.