Least Common Multiple of 5186/921, 2683/4470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5186/921, 2683/4470 quickly i.e. 13914038/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5186/921, 2683/4470 is 13914038/3.

LCM(5186/921, 2683/4470) = 13914038/3

LCM of 5186/921, 2683/4470

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 5186/921,2683/4470

Given numbers are 5186/921,2683/4470

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 5186,2683

Least Common Multiple of Numerators i.e. LCM of 5186,2683 is 13914038.

GCF of Denominators means GCF of 921,4470 as per the given fractions.

GCF of 921,4470 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5186,2683

LCM of Fractions 5186/921,2683/4470 is 13914038/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 13914038

Least Common Multiple of 5186,2683 with GCF Formula

Least Common Multiple of 5186,2683 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 5186,2683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5186,2683) = 1

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

GCF(5186,2683) x common factors =1 x 1 = 1

LCM(5186,2683) = ( 5186 × 2683 ) / 1

LCM(5186,2683) = 13914038 / 1

LCM(5186,2683) = 13914038


Lets's calculate GCF of 921,4470

3 921, 4470
307, 1490

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13914038/3

Therefore the LCM of Fractions 5186/921,2683/4470 is 13914038/3

Greatest Common Factor of 921,4470 By Matching Biggest Common Factor Method

Greatest Common Factor of 921,4470 By Matching Biggest Common Factor Method

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Factors of 4470

List of positive integer factors of 4470 that divides 4470 without a remainder.

1,2,3,5,6,10,15,30,149,298,447,745,894,1490,2235,4470

Greatest Common Factor

We found the factors 921,4470 . The biggest common factor number is the GCF number.
So the greatest common factor 921,4470 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 5186/921, 2683/4470

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 5186/921, 2683/4470?

Answer: LCM of Numerators as per given numbers 5186/921, 2683/4470 is

LCM of Numerators i.e. for 5186,2683 is 13914038

GCF of denominators i.e. for 921,4470 is 3.

Thus, LCM of Fractions is 13914038/3.Finally, LCM of Fractions for 5186/921, 2683/4470 is 13914038/3.