Least Common Multiple of 2189/224, 3859/7371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2189/224, 3859/7371 quickly i.e. 8447351/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2189/224, 3859/7371 is 8447351/7.

LCM(2189/224, 3859/7371) = 8447351/7

LCM of 2189/224, 3859/7371

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 2189/224,3859/7371

Given numbers are 2189/224,3859/7371

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 2189,3859

Least Common Multiple of Numerators i.e. LCM of 2189,3859 is 8447351.

GCF of Denominators means GCF of 224,7371 as per the given fractions.

GCF of 224,7371 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2189,3859

LCM of Fractions 2189/224,3859/7371 is 8447351/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 8447351

Least Common Multiple of 2189,3859 with GCF Formula

Least Common Multiple of 2189,3859 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 2189,3859 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2189,3859) = 1

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

GCF(2189,3859) x common factors =1 x 1 = 1

LCM(2189,3859) = ( 2189 × 3859 ) / 1

LCM(2189,3859) = 8447351 / 1

LCM(2189,3859) = 8447351


Lets's calculate GCF of 224,7371

7 224, 7371
32, 1053

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8447351/7

Therefore the LCM of Fractions 2189/224,3859/7371 is 8447351/7

Greatest Common Factor of 224,7371 By Matching Biggest Common Factor Method

Greatest Common Factor of 224,7371 By Matching Biggest Common Factor Method

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Factors of 7371

List of positive integer factors of 7371 that divides 7371 without a remainder.

1,3,7,9,13,21,27,39,63,81,91,117,189,273,351,567,819,1053,2457,7371

Greatest Common Factor

We found the factors 224,7371 . The biggest common factor number is the GCF number.
So the greatest common factor 224,7371 is 7.


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 2189/224, 3859/7371

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 2189/224, 3859/7371?

Answer: LCM of Numerators as per given numbers 2189/224, 3859/7371 is

LCM of Numerators i.e. for 2189,3859 is 8447351

GCF of denominators i.e. for 224,7371 is 7.

Thus, LCM of Fractions is 8447351/7.Finally, LCM of Fractions for 2189/224, 3859/7371 is 8447351/7.