Least Common Multiple of 13/91, 17/936, 499/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/91, 17/936, 499/842 quickly i.e. 110279 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/91, 17/936, 499/842 is 110279.

LCM(13/91, 17/936, 499/842) = 110279

LCM of 13/91, 17/936, 499/842

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 13/91,17/936,499/842

Given numbers are 13/91,17/936,499/842

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 13,17,499

Least Common Multiple of Numerators i.e. LCM of 13,17,499 is 110279.

GCF of Denominators means GCF of 91,936,842 as per the given fractions.

GCF of 91,936,842 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,17,499

LCM of Fractions 13/91,17/936,499/842 is 110279

Given numbers has no common factors except 1. So, there LCM is their product i.e 110279

Least Common Multiple of 13,17,499 with GCF Formula

Least Common Multiple of 13,17,499 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 13,17,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,17,499) = 1

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

GCF(13,17,499) x common factors =1 x 1 = 1

LCM(13,17,499) = ( 13 × 17 × 499 ) / 1

LCM(13,17,499) = 110279 / 1

LCM(13,17,499) = 110279


Lets's calculate GCF of 91,936,842

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 110279/1

Therefore the LCM of Fractions 13/91,17/936,499/842 is 110279

Greatest Common Factor of 91,936,842 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,936,842 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Greatest Common Factor

We found the factors 91,936,842 . The biggest common factor number is the GCF number.
So the greatest common factor 91,936,842 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 13/91, 17/936, 499/842

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 13/91, 17/936, 499/842?

Answer: LCM of Numerators as per given numbers 13/91, 17/936, 499/842 is

LCM of Numerators i.e. for 13,17,499 is 110279

GCF of denominators i.e. for 91,936,842 is 1.

Thus, LCM of Fractions is 110279.Finally, LCM of Fractions for 13/91, 17/936, 499/842 is 110279.