Least Common Multiple of 13/688, 80/862, 968/190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/688, 80/862, 968/190 quickly i.e. 62920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/688, 80/862, 968/190 is 62920.

LCM(13/688, 80/862, 968/190) = 62920

LCM of 13/688, 80/862, 968/190

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 13/688,80/862,968/190

Given numbers are 13/688,80/862,968/190

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 13,80,968

Least Common Multiple of Numerators i.e. LCM of 13,80,968 is 125840.

GCF of Denominators means GCF of 688,862,190 as per the given fractions.

GCF of 688,862,190 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,80,968

LCM of Fractions 13/688,80/862,968/190 is 62920

2 13, 80, 968
2 13, 40, 484
2 13, 20, 242
13, 10, 121

∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 10 x 121 = 125840

Least Common Multiple of 13,80,968 with GCF Formula

Least Common Multiple of 13,80,968 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 13,80,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,80,968) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(13,80,968) x common factors =1 x 8 = 8

LCM(13,80,968) = ( 13 × 80 × 968 ) / 8

LCM(13,80,968) = 1006720 / 8

LCM(13,80,968) = 125840


Lets's calculate GCF of 688,862,190

2 688, 862, 190
344, 431, 95

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 125840/2

Therefore the LCM of Fractions 13/688,80/862,968/190 is 62920

Greatest Common Factor of 688,862,190 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,862,190 By Matching Biggest Common Factor Method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Greatest Common Factor

We found the factors 688,862,190 . The biggest common factor number is the GCF number.
So the greatest common factor 688,862,190 is 2.


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 13/688, 80/862, 968/190

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 13/688, 80/862, 968/190?

Answer: LCM of Numerators as per given numbers 13/688, 80/862, 968/190 is

LCM of Numerators i.e. for 13,80,968 is 125840

GCF of denominators i.e. for 688,862,190 is 2.

Thus, LCM of Fractions is 62920.Finally, LCM of Fractions for 13/688, 80/862, 968/190 is 62920.