Least Common Multiple of 82/164, 273/720, 691/301

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/164, 273/720, 691/301 quickly i.e. 15468726 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/164, 273/720, 691/301 is 15468726.

LCM(82/164, 273/720, 691/301) = 15468726

LCM of 82/164, 273/720, 691/301

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 82/164,273/720,691/301

Given numbers are 82/164,273/720,691/301

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 82,273,691

Least Common Multiple of Numerators i.e. LCM of 82,273,691 is 15468726.

GCF of Denominators means GCF of 164,720,301 as per the given fractions.

GCF of 164,720,301 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,273,691

LCM of Fractions 82/164,273/720,691/301 is 15468726

Given numbers has no common factors except 1. So, there LCM is their product i.e 15468726

Least Common Multiple of 82,273,691 with GCF Formula

Least Common Multiple of 82,273,691 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 82,273,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,273,691) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(82,273,691) x common factors =1 x 1 = 1

LCM(82,273,691) = ( 82 × 273 × 691 ) / 1

LCM(82,273,691) = 15468726 / 1

LCM(82,273,691) = 15468726


Lets's calculate GCF of 164,720,301

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15468726/1

Therefore the LCM of Fractions 82/164,273/720,691/301 is 15468726

Greatest Common Factor of 164,720,301 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,720,301 By Matching Biggest Common Factor Method

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Greatest Common Factor

We found the factors 164,720,301 . The biggest common factor number is the GCF number.
So the greatest common factor 164,720,301 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 82/164, 273/720, 691/301

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 82/164, 273/720, 691/301?

Answer: LCM of Numerators as per given numbers 82/164, 273/720, 691/301 is

LCM of Numerators i.e. for 82,273,691 is 15468726

GCF of denominators i.e. for 164,720,301 is 1.

Thus, LCM of Fractions is 15468726.Finally, LCM of Fractions for 82/164, 273/720, 691/301 is 15468726.