Least Common Multiple of 26/683, 3202/6721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 26/683, 3202/6721 quickly i.e. 41626 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/683, 3202/6721 is 41626.

LCM(26/683, 3202/6721) = 41626

LCM of 26/683, 3202/6721

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 26/683,3202/6721

Given numbers are 26/683,3202/6721

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 26,3202

Least Common Multiple of Numerators i.e. LCM of 26,3202 is 41626.

GCF of Denominators means GCF of 683,6721 as per the given fractions.

GCF of 683,6721 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,3202

LCM of Fractions 26/683,3202/6721 is 41626

2 26, 3202
13, 1601

∴ So the LCM of the given numbers is 2 x 13 x 1601 = 41626

Least Common Multiple of 26,3202 with GCF Formula

Least Common Multiple of 26,3202 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 26,3202 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,3202) = 2

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

GCF(26,3202) x common factors =2 x 1 = 2

LCM(26,3202) = ( 26 × 3202 ) / 2

LCM(26,3202) = 83252 / 2

LCM(26,3202) = 41626


Lets's calculate GCF of 683,6721

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41626/1

Therefore the LCM of Fractions 26/683,3202/6721 is 41626

Greatest Common Factor of 683,6721 By Matching Biggest Common Factor Method

Greatest Common Factor of 683,6721 By Matching Biggest Common Factor Method

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Factors of 6721

List of positive integer factors of 6721 that divides 6721 without a remainder.

1,11,13,47,143,517,611,6721

Greatest Common Factor

We found the factors 683,6721 . The biggest common factor number is the GCF number.
So the greatest common factor 683,6721 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 26/683, 3202/6721

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 26/683, 3202/6721?

Answer: LCM of Numerators as per given numbers 26/683, 3202/6721 is

LCM of Numerators i.e. for 26,3202 is 41626

GCF of denominators i.e. for 683,6721 is 1.

Thus, LCM of Fractions is 41626.Finally, LCM of Fractions for 26/683, 3202/6721 is 41626.