Least Common Multiple of 82/915, 78/264, 180/897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/915, 78/264, 180/897 quickly i.e. 31980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/915, 78/264, 180/897 is 31980.

LCM(82/915, 78/264, 180/897) = 31980

LCM of 82/915, 78/264, 180/897

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 82/915,78/264,180/897

Given numbers are 82/915,78/264,180/897

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 82,78,180

Least Common Multiple of Numerators i.e. LCM of 82,78,180 is 95940.

GCF of Denominators means GCF of 915,264,897 as per the given fractions.

GCF of 915,264,897 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,78,180

LCM of Fractions 82/915,78/264,180/897 is 31980

2 82, 78, 180
3 41, 39, 90
41, 13, 30

∴ So the LCM of the given numbers is 2 x 3 x 41 x 13 x 30 = 95940

Least Common Multiple of 82,78,180 with GCF Formula

Least Common Multiple of 82,78,180 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 82,78,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,78,180) = 2

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

GCF(82,78,180) x common factors =2 x 6 = 12

LCM(82,78,180) = ( 82 × 78 × 180 ) / 12

LCM(82,78,180) = 1151280 / 12

LCM(82,78,180) = 95940


Lets's calculate GCF of 915,264,897

3 915, 264, 897
305, 88, 299

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95940/3

Therefore the LCM of Fractions 82/915,78/264,180/897 is 31980

Greatest Common Factor of 915,264,897 By Matching Biggest Common Factor Method

Greatest Common Factor of 915,264,897 By Matching Biggest Common Factor Method

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Greatest Common Factor

We found the factors 915,264,897 . The biggest common factor number is the GCF number.
So the greatest common factor 915,264,897 is 3.


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 82/915, 78/264, 180/897

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 82/915, 78/264, 180/897?

Answer: LCM of Numerators as per given numbers 82/915, 78/264, 180/897 is

LCM of Numerators i.e. for 82,78,180 is 95940

GCF of denominators i.e. for 915,264,897 is 3.

Thus, LCM of Fractions is 31980.Finally, LCM of Fractions for 82/915, 78/264, 180/897 is 31980.