Least Common Multiple of 6/519, 73/724, 78/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/519, 73/724, 78/697 quickly i.e. 5694 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/519, 73/724, 78/697 is 5694.

LCM(6/519, 73/724, 78/697) = 5694

LCM of 6/519, 73/724, 78/697

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 6/519,73/724,78/697

Given numbers are 6/519,73/724,78/697

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 6,73,78

Least Common Multiple of Numerators i.e. LCM of 6,73,78 is 5694.

GCF of Denominators means GCF of 519,724,697 as per the given fractions.

GCF of 519,724,697 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,73,78

LCM of Fractions 6/519,73/724,78/697 is 5694

2 6, 73, 78
3 3, 73, 39
1, 73, 13

∴ So the LCM of the given numbers is 2 x 3 x 1 x 73 x 13 = 5694

Least Common Multiple of 6,73,78 with GCF Formula

Least Common Multiple of 6,73,78 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 6,73,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,73,78) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(6,73,78) x common factors =1 x 6 = 6

LCM(6,73,78) = ( 6 × 73 × 78 ) / 6

LCM(6,73,78) = 34164 / 6

LCM(6,73,78) = 5694


Lets's calculate GCF of 519,724,697

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5694/1

Therefore the LCM of Fractions 6/519,73/724,78/697 is 5694

Greatest Common Factor of 519,724,697 By Matching Biggest Common Factor Method

Greatest Common Factor of 519,724,697 By Matching Biggest Common Factor Method

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Greatest Common Factor

We found the factors 519,724,697 . The biggest common factor number is the GCF number.
So the greatest common factor 519,724,697 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 6/519, 73/724, 78/697

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 6/519, 73/724, 78/697?

Answer: LCM of Numerators as per given numbers 6/519, 73/724, 78/697 is

LCM of Numerators i.e. for 6,73,78 is 5694

GCF of denominators i.e. for 519,724,697 is 1.

Thus, LCM of Fractions is 5694.Finally, LCM of Fractions for 6/519, 73/724, 78/697 is 5694.