Least Common Multiple of 6/728, 31/648, 78/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/728, 31/648, 78/169 quickly i.e. 2418 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/728, 31/648, 78/169 is 2418.

LCM(6/728, 31/648, 78/169) = 2418

LCM of 6/728, 31/648, 78/169

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 6/728,31/648,78/169

Given numbers are 6/728,31/648,78/169

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 6,31,78

Least Common Multiple of Numerators i.e. LCM of 6,31,78 is 2418.

GCF of Denominators means GCF of 728,648,169 as per the given fractions.

GCF of 728,648,169 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,31,78

LCM of Fractions 6/728,31/648,78/169 is 2418

2 6, 31, 78
3 3, 31, 39
1, 31, 13

∴ So the LCM of the given numbers is 2 x 3 x 1 x 31 x 13 = 2418

Least Common Multiple of 6,31,78 with GCF Formula

Least Common Multiple of 6,31,78 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 6,31,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,31,78) = 1

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

GCF(6,31,78) x common factors =1 x 6 = 6

LCM(6,31,78) = ( 6 × 31 × 78 ) / 6

LCM(6,31,78) = 14508 / 6

LCM(6,31,78) = 2418


Lets's calculate GCF of 728,648,169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2418/1

Therefore the LCM of Fractions 6/728,31/648,78/169 is 2418

Greatest Common Factor of 728,648,169 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,648,169 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Greatest Common Factor

We found the factors 728,648,169 . The biggest common factor number is the GCF number.
So the greatest common factor 728,648,169 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 6/728, 31/648, 78/169

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 6/728, 31/648, 78/169?

Answer: LCM of Numerators as per given numbers 6/728, 31/648, 78/169 is

LCM of Numerators i.e. for 6,31,78 is 2418

GCF of denominators i.e. for 728,648,169 is 1.

Thus, LCM of Fractions is 2418.Finally, LCM of Fractions for 6/728, 31/648, 78/169 is 2418.