Least Common Multiple of 796/867, 2683/291

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 796/867, 2683/291 quickly i.e. 2135668/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 796/867, 2683/291 is 2135668/3.

LCM(796/867, 2683/291) = 2135668/3

LCM of 796/867, 2683/291

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 796/867,2683/291

Given numbers are 796/867,2683/291

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 796,2683

Least Common Multiple of Numerators i.e. LCM of 796,2683 is 2135668.

GCF of Denominators means GCF of 867,291 as per the given fractions.

GCF of 867,291 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 796,2683

LCM of Fractions 796/867,2683/291 is 2135668/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 2135668

Least Common Multiple of 796,2683 with GCF Formula

Least Common Multiple of 796,2683 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 796,2683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(796,2683) = 1

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

GCF(796,2683) x common factors =1 x 1 = 1

LCM(796,2683) = ( 796 × 2683 ) / 1

LCM(796,2683) = 2135668 / 1

LCM(796,2683) = 2135668


Lets's calculate GCF of 867,291

3 867, 291
289, 97

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2135668/3

Therefore the LCM of Fractions 796/867,2683/291 is 2135668/3

Greatest Common Factor of 867,291 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,291 By Matching Biggest Common Factor Method

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Greatest Common Factor

We found the factors 867,291 . The biggest common factor number is the GCF number.
So the greatest common factor 867,291 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 796/867, 2683/291

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 796/867, 2683/291?

Answer: LCM of Numerators as per given numbers 796/867, 2683/291 is

LCM of Numerators i.e. for 796,2683 is 2135668

GCF of denominators i.e. for 867,291 is 3.

Thus, LCM of Fractions is 2135668/3.Finally, LCM of Fractions for 796/867, 2683/291 is 2135668/3.