Least Common Multiple of 305/26, 284/97, 831/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 305/26, 284/97, 831/828 quickly i.e. 71981220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 305/26, 284/97, 831/828 is 71981220.

LCM(305/26, 284/97, 831/828) = 71981220

LCM of 305/26, 284/97, 831/828

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 305/26,284/97,831/828

Given numbers are 305/26,284/97,831/828

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 305,284,831

Least Common Multiple of Numerators i.e. LCM of 305,284,831 is 71981220.

GCF of Denominators means GCF of 26,97,828 as per the given fractions.

GCF of 26,97,828 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 305,284,831

LCM of Fractions 305/26,284/97,831/828 is 71981220

Given numbers has no common factors except 1. So, there LCM is their product i.e 71981220

Least Common Multiple of 305,284,831 with GCF Formula

Least Common Multiple of 305,284,831 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 305,284,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,284,831) = 1

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

GCF(305,284,831) x common factors =1 x 1 = 1

LCM(305,284,831) = ( 305 × 284 × 831 ) / 1

LCM(305,284,831) = 71981220 / 1

LCM(305,284,831) = 71981220


Lets's calculate GCF of 26,97,828

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71981220/1

Therefore the LCM of Fractions 305/26,284/97,831/828 is 71981220

Greatest Common Factor of 26,97,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,97,828 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 26,97,828 . The biggest common factor number is the GCF number.
So the greatest common factor 26,97,828 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 305/26, 284/97, 831/828

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 305/26, 284/97, 831/828?

Answer: LCM of Numerators as per given numbers 305/26, 284/97, 831/828 is

LCM of Numerators i.e. for 305,284,831 is 71981220

GCF of denominators i.e. for 26,97,828 is 1.

Thus, LCM of Fractions is 71981220.Finally, LCM of Fractions for 305/26, 284/97, 831/828 is 71981220.