Least Common Multiple of 103/36, 664/69, 826/13

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 103/36, 664/69, 826/13 quickly i.e. 28245896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 103/36, 664/69, 826/13 is 28245896.

LCM(103/36, 664/69, 826/13) = 28245896

LCM of 103/36, 664/69, 826/13

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 103/36,664/69,826/13

Given numbers are 103/36,664/69,826/13

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 103,664,826

Least Common Multiple of Numerators i.e. LCM of 103,664,826 is 28245896.

GCF of Denominators means GCF of 36,69,13 as per the given fractions.

GCF of 36,69,13 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 103,664,826

LCM of Fractions 103/36,664/69,826/13 is 28245896

2 103, 664, 826
103, 332, 413

∴ So the LCM of the given numbers is 2 x 103 x 332 x 413 = 28245896

Least Common Multiple of 103,664,826 with GCF Formula

Least Common Multiple of 103,664,826 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 103,664,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(103,664,826) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(103,664,826) x common factors =1 x 2 = 2

LCM(103,664,826) = ( 103 × 664 × 826 ) / 2

LCM(103,664,826) = 56491792 / 2

LCM(103,664,826) = 28245896


Lets's calculate GCF of 36,69,13

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28245896/1

Therefore the LCM of Fractions 103/36,664/69,826/13 is 28245896

Greatest Common Factor of 36,69,13 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,69,13 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

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 36,69,13 . The biggest common factor number is the GCF number.
So the greatest common factor 36,69,13 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 103/36, 664/69, 826/13

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 103/36, 664/69, 826/13?

Answer: LCM of Numerators as per given numbers 103/36, 664/69, 826/13 is

LCM of Numerators i.e. for 103,664,826 is 28245896

GCF of denominators i.e. for 36,69,13 is 1.

Thus, LCM of Fractions is 28245896.Finally, LCM of Fractions for 103/36, 664/69, 826/13 is 28245896.