Least Common Multiple of 502/413, 8467/6635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 502/413, 8467/6635 quickly i.e. 4250434 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 502/413, 8467/6635 is 4250434.

LCM(502/413, 8467/6635) = 4250434

LCM of 502/413, 8467/6635

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 502/413,8467/6635

Given numbers are 502/413,8467/6635

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 502,8467

Least Common Multiple of Numerators i.e. LCM of 502,8467 is 4250434.

GCF of Denominators means GCF of 413,6635 as per the given fractions.

GCF of 413,6635 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 502,8467

LCM of Fractions 502/413,8467/6635 is 4250434

Given numbers has no common factors except 1. So, there LCM is their product i.e 4250434

Least Common Multiple of 502,8467 with GCF Formula

Least Common Multiple of 502,8467 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 502,8467 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(502,8467) = 1

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

GCF(502,8467) x common factors =1 x 1 = 1

LCM(502,8467) = ( 502 × 8467 ) / 1

LCM(502,8467) = 4250434 / 1

LCM(502,8467) = 4250434


Lets's calculate GCF of 413,6635

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4250434/1

Therefore the LCM of Fractions 502/413,8467/6635 is 4250434

Greatest Common Factor of 413,6635 By Matching Biggest Common Factor Method

Greatest Common Factor of 413,6635 By Matching Biggest Common Factor Method

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 6635

List of positive integer factors of 6635 that divides 6635 without a remainder.

1,5,1327,6635

Greatest Common Factor

We found the factors 413,6635 . The biggest common factor number is the GCF number.
So the greatest common factor 413,6635 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 502/413, 8467/6635

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 502/413, 8467/6635?

Answer: LCM of Numerators as per given numbers 502/413, 8467/6635 is

LCM of Numerators i.e. for 502,8467 is 4250434

GCF of denominators i.e. for 413,6635 is 1.

Thus, LCM of Fractions is 4250434.Finally, LCM of Fractions for 502/413, 8467/6635 is 4250434.