Least Common Multiple of 82/166, 77/371, 272/897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/166, 77/371, 272/897 quickly i.e. 858704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/166, 77/371, 272/897 is 858704.

LCM(82/166, 77/371, 272/897) = 858704

LCM of 82/166, 77/371, 272/897

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 82/166,77/371,272/897

Given numbers are 82/166,77/371,272/897

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 82,77,272

Least Common Multiple of Numerators i.e. LCM of 82,77,272 is 858704.

GCF of Denominators means GCF of 166,371,897 as per the given fractions.

GCF of 166,371,897 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,77,272

LCM of Fractions 82/166,77/371,272/897 is 858704

2 82, 77, 272
41, 77, 136

∴ So the LCM of the given numbers is 2 x 41 x 77 x 136 = 858704

Least Common Multiple of 82,77,272 with GCF Formula

Least Common Multiple of 82,77,272 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 82,77,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,77,272) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(82,77,272) x common factors =1 x 2 = 2

LCM(82,77,272) = ( 82 × 77 × 272 ) / 2

LCM(82,77,272) = 1717408 / 2

LCM(82,77,272) = 858704


Lets's calculate GCF of 166,371,897

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 858704/1

Therefore the LCM of Fractions 82/166,77/371,272/897 is 858704

Greatest Common Factor of 166,371,897 By Matching Biggest Common Factor Method

Greatest Common Factor of 166,371,897 By Matching Biggest Common Factor Method

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

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 166,371,897 . The biggest common factor number is the GCF number.
So the greatest common factor 166,371,897 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 82/166, 77/371, 272/897

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 82/166, 77/371, 272/897?

Answer: LCM of Numerators as per given numbers 82/166, 77/371, 272/897 is

LCM of Numerators i.e. for 82,77,272 is 858704

GCF of denominators i.e. for 166,371,897 is 1.

Thus, LCM of Fractions is 858704.Finally, LCM of Fractions for 82/166, 77/371, 272/897 is 858704.