Least Common Multiple of 82/91, 60/59, 23/56, 97/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 82/91, 60/59, 23/56, 97/696 quickly i.e. 5488260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/91, 60/59, 23/56, 97/696 is 5488260.

LCM(82/91, 60/59, 23/56, 97/696) = 5488260

LCM of 82/91, 60/59, 23/56, 97/696

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 82/91,60/59,23/56,97/696

Given numbers are 82/91,60/59,23/56,97/696

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 82,60,23,97

Least Common Multiple of Numerators i.e. LCM of 82,60,23,97 is 5488260.

GCF of Denominators means GCF of 91,59,56,696 as per the given fractions.

GCF of 91,59,56,696 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,60,23,97

LCM of Fractions 82/91,60/59,23/56,97/696 is 5488260

2 82, 60, 23, 97
41, 30, 23, 97

∴ So the LCM of the given numbers is 2 x 41 x 30 x 23 x 97 = 5488260

Least Common Multiple of 82,60,23,97 with GCF Formula

Least Common Multiple of 82,60,23,97 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 82,60,23,97 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,60,23,97) = 1

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

GCF(82,60,23,97) x common factors =1 x 2 = 2

LCM(82,60,23,97) = ( 82 × 60 × 23 × 97 ) / 2

LCM(82,60,23,97) = 10976520 / 2

LCM(82,60,23,97) = 5488260


Lets's calculate GCF of 91,59,56,696

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5488260/1

Therefore the LCM of Fractions 82/91,60/59,23/56,97/696 is 5488260

Greatest Common Factor of 91,59,56,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,59,56,696 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 91,59,56,696 . The biggest common factor number is the GCF number.
So the greatest common factor 91,59,56,696 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 82/91, 60/59, 23/56, 97/696

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 82/91, 60/59, 23/56, 97/696?

Answer: LCM of Numerators as per given numbers 82/91, 60/59, 23/56, 97/696 is

LCM of Numerators i.e. for 82,60,23,97 is 5488260

GCF of denominators i.e. for 91,59,56,696 is 1.

Thus, LCM of Fractions is 5488260.Finally, LCM of Fractions for 82/91, 60/59, 23/56, 97/696 is 5488260.