Least Common Multiple of 82/735, 74/305, 823/831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/735, 74/305, 823/831 quickly i.e. 2496982 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/735, 74/305, 823/831 is 2496982.

LCM(82/735, 74/305, 823/831) = 2496982

LCM of 82/735, 74/305, 823/831

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 82/735,74/305,823/831

Given numbers are 82/735,74/305,823/831

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 82,74,823

Least Common Multiple of Numerators i.e. LCM of 82,74,823 is 2496982.

GCF of Denominators means GCF of 735,305,831 as per the given fractions.

GCF of 735,305,831 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,74,823

LCM of Fractions 82/735,74/305,823/831 is 2496982

2 82, 74, 823
41, 37, 823

∴ So the LCM of the given numbers is 2 x 41 x 37 x 823 = 2496982

Least Common Multiple of 82,74,823 with GCF Formula

Least Common Multiple of 82,74,823 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 82,74,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,74,823) = 1

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

GCF(82,74,823) x common factors =1 x 2 = 2

LCM(82,74,823) = ( 82 × 74 × 823 ) / 2

LCM(82,74,823) = 4993964 / 2

LCM(82,74,823) = 2496982


Lets's calculate GCF of 735,305,831

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2496982/1

Therefore the LCM of Fractions 82/735,74/305,823/831 is 2496982

Greatest Common Factor of 735,305,831 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,305,831 By Matching Biggest Common Factor Method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Greatest Common Factor

We found the factors 735,305,831 . The biggest common factor number is the GCF number.
So the greatest common factor 735,305,831 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 82/735, 74/305, 823/831

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 82/735, 74/305, 823/831?

Answer: LCM of Numerators as per given numbers 82/735, 74/305, 823/831 is

LCM of Numerators i.e. for 82,74,823 is 2496982

GCF of denominators i.e. for 735,305,831 is 1.

Thus, LCM of Fractions is 2496982.Finally, LCM of Fractions for 82/735, 74/305, 823/831 is 2496982.