Least Common Multiple of 13/391, 286/102, 920/913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/391, 286/102, 920/913 quickly i.e. 131560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/391, 286/102, 920/913 is 131560.

LCM(13/391, 286/102, 920/913) = 131560

LCM of 13/391, 286/102, 920/913

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 13/391,286/102,920/913

Given numbers are 13/391,286/102,920/913

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 13,286,920

Least Common Multiple of Numerators i.e. LCM of 13,286,920 is 131560.

GCF of Denominators means GCF of 391,102,913 as per the given fractions.

GCF of 391,102,913 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,286,920

LCM of Fractions 13/391,286/102,920/913 is 131560

2 13, 286, 920
13 13, 143, 460
1, 11, 460

∴ So the LCM of the given numbers is 2 x 13 x 1 x 11 x 460 = 131560

Least Common Multiple of 13,286,920 with GCF Formula

Least Common Multiple of 13,286,920 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 13,286,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,286,920) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(13,286,920) x common factors =1 x 26 = 26

LCM(13,286,920) = ( 13 × 286 × 920 ) / 26

LCM(13,286,920) = 3420560 / 26

LCM(13,286,920) = 131560


Lets's calculate GCF of 391,102,913

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131560/1

Therefore the LCM of Fractions 13/391,286/102,920/913 is 131560

Greatest Common Factor of 391,102,913 By Matching Biggest Common Factor Method

Greatest Common Factor of 391,102,913 By Matching Biggest Common Factor Method

Factors of 391

List of positive integer factors of 391 that divides 391 without a remainder.

1,17,23,391

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Greatest Common Factor

We found the factors 391,102,913 . The biggest common factor number is the GCF number.
So the greatest common factor 391,102,913 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 13/391, 286/102, 920/913

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 13/391, 286/102, 920/913?

Answer: LCM of Numerators as per given numbers 13/391, 286/102, 920/913 is

LCM of Numerators i.e. for 13,286,920 is 131560

GCF of denominators i.e. for 391,102,913 is 1.

Thus, LCM of Fractions is 131560.Finally, LCM of Fractions for 13/391, 286/102, 920/913 is 131560.