Least Common Multiple of 23/13, 78/91, 406/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/13, 78/91, 406/820 quickly i.e. 364182 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/13, 78/91, 406/820 is 364182.

LCM(23/13, 78/91, 406/820) = 364182

LCM of 23/13, 78/91, 406/820

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 23/13,78/91,406/820

Given numbers are 23/13,78/91,406/820

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 23,78,406

Least Common Multiple of Numerators i.e. LCM of 23,78,406 is 364182.

GCF of Denominators means GCF of 13,91,820 as per the given fractions.

GCF of 13,91,820 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,78,406

LCM of Fractions 23/13,78/91,406/820 is 364182

2 23, 78, 406
23, 39, 203

∴ So the LCM of the given numbers is 2 x 23 x 39 x 203 = 364182

Least Common Multiple of 23,78,406 with GCF Formula

Least Common Multiple of 23,78,406 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 23,78,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,78,406) = 1

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

GCF(23,78,406) x common factors =1 x 2 = 2

LCM(23,78,406) = ( 23 × 78 × 406 ) / 2

LCM(23,78,406) = 728364 / 2

LCM(23,78,406) = 364182


Lets's calculate GCF of 13,91,820

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 364182/1

Therefore the LCM of Fractions 23/13,78/91,406/820 is 364182

Greatest Common Factor of 13,91,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,91,820 By Matching Biggest Common Factor Method

Factors of 13

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

1,13

Factors of 91

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

1,7,13,91

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 13,91,820 . The biggest common factor number is the GCF number.
So the greatest common factor 13,91,820 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 23/13, 78/91, 406/820

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 23/13, 78/91, 406/820?

Answer: LCM of Numerators as per given numbers 23/13, 78/91, 406/820 is

LCM of Numerators i.e. for 23,78,406 is 364182

GCF of denominators i.e. for 13,91,820 is 1.

Thus, LCM of Fractions is 364182.Finally, LCM of Fractions for 23/13, 78/91, 406/820 is 364182.