Least Common Multiple of 72/819, 352/868, 102/657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/819, 352/868, 102/657 quickly i.e. 53856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/819, 352/868, 102/657 is 53856.

LCM(72/819, 352/868, 102/657) = 53856

LCM of 72/819, 352/868, 102/657

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 72/819,352/868,102/657

Given numbers are 72/819,352/868,102/657

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 72,352,102

Least Common Multiple of Numerators i.e. LCM of 72,352,102 is 53856.

GCF of Denominators means GCF of 819,868,657 as per the given fractions.

GCF of 819,868,657 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,352,102

LCM of Fractions 72/819,352/868,102/657 is 53856

2 72, 352, 102
2 36, 176, 51
2 18, 88, 51
3 9, 44, 51
3, 44, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 44 x 17 = 53856

Least Common Multiple of 72,352,102 with GCF Formula

Least Common Multiple of 72,352,102 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 72,352,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,352,102) = 2

common factors(in case of two or more numbers have common factors) = 24

GCF(72,352,102) x common factors =2 x 24 = 48

LCM(72,352,102) = ( 72 × 352 × 102 ) / 48

LCM(72,352,102) = 2585088 / 48

LCM(72,352,102) = 53856


Lets's calculate GCF of 819,868,657

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53856/1

Therefore the LCM of Fractions 72/819,352/868,102/657 is 53856

Greatest Common Factor of 819,868,657 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,868,657 By Matching Biggest Common Factor Method

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

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Greatest Common Factor

We found the factors 819,868,657 . The biggest common factor number is the GCF number.
So the greatest common factor 819,868,657 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 72/819, 352/868, 102/657

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 72/819, 352/868, 102/657?

Answer: LCM of Numerators as per given numbers 72/819, 352/868, 102/657 is

LCM of Numerators i.e. for 72,352,102 is 53856

GCF of denominators i.e. for 819,868,657 is 1.

Thus, LCM of Fractions is 53856.Finally, LCM of Fractions for 72/819, 352/868, 102/657 is 53856.