Least Common Multiple of 799/21, 636/17, 139/13

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 799/21, 636/17, 139/13 quickly i.e. 70634796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 799/21, 636/17, 139/13 is 70634796.

LCM(799/21, 636/17, 139/13) = 70634796

LCM of 799/21, 636/17, 139/13

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 799/21,636/17,139/13

Given numbers are 799/21,636/17,139/13

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 799,636,139

Least Common Multiple of Numerators i.e. LCM of 799,636,139 is 70634796.

GCF of Denominators means GCF of 21,17,13 as per the given fractions.

GCF of 21,17,13 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 799,636,139

LCM of Fractions 799/21,636/17,139/13 is 70634796

Given numbers has no common factors except 1. So, there LCM is their product i.e 70634796

Least Common Multiple of 799,636,139 with GCF Formula

Least Common Multiple of 799,636,139 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 799,636,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(799,636,139) = 1

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

GCF(799,636,139) x common factors =1 x 1 = 1

LCM(799,636,139) = ( 799 × 636 × 139 ) / 1

LCM(799,636,139) = 70634796 / 1

LCM(799,636,139) = 70634796


Lets's calculate GCF of 21,17,13

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70634796/1

Therefore the LCM of Fractions 799/21,636/17,139/13 is 70634796

Greatest Common Factor of 21,17,13 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,17,13 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Greatest Common Factor

We found the factors 21,17,13 . The biggest common factor number is the GCF number.
So the greatest common factor 21,17,13 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 799/21, 636/17, 139/13

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 799/21, 636/17, 139/13?

Answer: LCM of Numerators as per given numbers 799/21, 636/17, 139/13 is

LCM of Numerators i.e. for 799,636,139 is 70634796

GCF of denominators i.e. for 21,17,13 is 1.

Thus, LCM of Fractions is 70634796.Finally, LCM of Fractions for 799/21, 636/17, 139/13 is 70634796.