Least Common Multiple of 96/82, 22/54, 697/596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/82, 22/54, 697/596 quickly i.e. 368016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/82, 22/54, 697/596 is 368016.

LCM(96/82, 22/54, 697/596) = 368016

LCM of 96/82, 22/54, 697/596

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 96/82,22/54,697/596

Given numbers are 96/82,22/54,697/596

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 96,22,697

Least Common Multiple of Numerators i.e. LCM of 96,22,697 is 736032.

GCF of Denominators means GCF of 82,54,596 as per the given fractions.

GCF of 82,54,596 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,22,697

LCM of Fractions 96/82,22/54,697/596 is 368016

2 96, 22, 697
48, 11, 697

∴ So the LCM of the given numbers is 2 x 48 x 11 x 697 = 736032

Least Common Multiple of 96,22,697 with GCF Formula

Least Common Multiple of 96,22,697 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 96,22,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,22,697) = 1

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

GCF(96,22,697) x common factors =1 x 2 = 2

LCM(96,22,697) = ( 96 × 22 × 697 ) / 2

LCM(96,22,697) = 1472064 / 2

LCM(96,22,697) = 736032


Lets's calculate GCF of 82,54,596

2 82, 54, 596
41, 27, 298

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 736032/2

Therefore the LCM of Fractions 96/82,22/54,697/596 is 368016

Greatest Common Factor of 82,54,596 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,54,596 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Greatest Common Factor

We found the factors 82,54,596 . The biggest common factor number is the GCF number.
So the greatest common factor 82,54,596 is 2.


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 96/82, 22/54, 697/596

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 96/82, 22/54, 697/596?

Answer: LCM of Numerators as per given numbers 96/82, 22/54, 697/596 is

LCM of Numerators i.e. for 96,22,697 is 736032

GCF of denominators i.e. for 82,54,596 is 2.

Thus, LCM of Fractions is 368016.Finally, LCM of Fractions for 96/82, 22/54, 697/596 is 368016.