Least Common Multiple of 6517/82, 3743/229

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6517/82, 3743/229 quickly i.e. 1283849 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6517/82, 3743/229 is 1283849.

LCM(6517/82, 3743/229) = 1283849

LCM of 6517/82, 3743/229

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 6517/82,3743/229

Given numbers are 6517/82,3743/229

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 6517,3743

Least Common Multiple of Numerators i.e. LCM of 6517,3743 is 1283849.

GCF of Denominators means GCF of 82,229 as per the given fractions.

GCF of 82,229 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6517,3743

LCM of Fractions 6517/82,3743/229 is 1283849

19 6517, 3743
343, 197

∴ So the LCM of the given numbers is 19 x 343 x 197 = 1283849

Least Common Multiple of 6517,3743 with GCF Formula

Least Common Multiple of 6517,3743 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 6517,3743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6517,3743) = 19

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

GCF(6517,3743) x common factors =19 x 1 = 19

LCM(6517,3743) = ( 6517 × 3743 ) / 19

LCM(6517,3743) = 24393131 / 19

LCM(6517,3743) = 1283849


Lets's calculate GCF of 82,229

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1283849/1

Therefore the LCM of Fractions 6517/82,3743/229 is 1283849

Greatest Common Factor of 82,229 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,229 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Greatest Common Factor

We found the factors 82,229 . The biggest common factor number is the GCF number.
So the greatest common factor 82,229 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 6517/82, 3743/229

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 6517/82, 3743/229?

Answer: LCM of Numerators as per given numbers 6517/82, 3743/229 is

LCM of Numerators i.e. for 6517,3743 is 1283849

GCF of denominators i.e. for 82,229 is 1.

Thus, LCM of Fractions is 1283849.Finally, LCM of Fractions for 6517/82, 3743/229 is 1283849.