Least Common Multiple of 51/43, 75/40, 29/97, 13/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/43, 75/40, 29/97, 13/819 quickly i.e. 480675 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/43, 75/40, 29/97, 13/819 is 480675.

LCM(51/43, 75/40, 29/97, 13/819) = 480675

LCM of 51/43, 75/40, 29/97, 13/819

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 51/43,75/40,29/97,13/819

Given numbers are 51/43,75/40,29/97,13/819

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 51,75,29,13

Least Common Multiple of Numerators i.e. LCM of 51,75,29,13 is 480675.

GCF of Denominators means GCF of 43,40,97,819 as per the given fractions.

GCF of 43,40,97,819 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,75,29,13

LCM of Fractions 51/43,75/40,29/97,13/819 is 480675

3 51, 75, 29, 13
17, 25, 29, 13

∴ So the LCM of the given numbers is 3 x 17 x 25 x 29 x 13 = 480675

Least Common Multiple of 51,75,29,13 with GCF Formula

Least Common Multiple of 51,75,29,13 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 51,75,29,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,75,29,13) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(51,75,29,13) x common factors =1 x 3 = 3

LCM(51,75,29,13) = ( 51 × 75 × 29 × 13 ) / 3

LCM(51,75,29,13) = 1442025 / 3

LCM(51,75,29,13) = 480675


Lets's calculate GCF of 43,40,97,819

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 480675/1

Therefore the LCM of Fractions 51/43,75/40,29/97,13/819 is 480675

Greatest Common Factor of 43,40,97,819 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,40,97,819 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Greatest Common Factor

We found the factors 43,40,97,819 . The biggest common factor number is the GCF number.
So the greatest common factor 43,40,97,819 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 51/43, 75/40, 29/97, 13/819

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 51/43, 75/40, 29/97, 13/819?

Answer: LCM of Numerators as per given numbers 51/43, 75/40, 29/97, 13/819 is

LCM of Numerators i.e. for 51,75,29,13 is 480675

GCF of denominators i.e. for 43,40,97,819 is 1.

Thus, LCM of Fractions is 480675.Finally, LCM of Fractions for 51/43, 75/40, 29/97, 13/819 is 480675.