Least Common Multiple of 74/82, 23/584, 326/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/82, 23/584, 326/432 quickly i.e. 138713 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/82, 23/584, 326/432 is 138713.

LCM(74/82, 23/584, 326/432) = 138713

LCM of 74/82, 23/584, 326/432

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 74/82,23/584,326/432

Given numbers are 74/82,23/584,326/432

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 74,23,326

Least Common Multiple of Numerators i.e. LCM of 74,23,326 is 277426.

GCF of Denominators means GCF of 82,584,432 as per the given fractions.

GCF of 82,584,432 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,23,326

LCM of Fractions 74/82,23/584,326/432 is 138713

2 74, 23, 326
37, 23, 163

∴ So the LCM of the given numbers is 2 x 37 x 23 x 163 = 277426

Least Common Multiple of 74,23,326 with GCF Formula

Least Common Multiple of 74,23,326 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 74,23,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,23,326) = 1

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

GCF(74,23,326) x common factors =1 x 2 = 2

LCM(74,23,326) = ( 74 × 23 × 326 ) / 2

LCM(74,23,326) = 554852 / 2

LCM(74,23,326) = 277426


Lets's calculate GCF of 82,584,432

2 82, 584, 432
41, 292, 216

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 277426/2

Therefore the LCM of Fractions 74/82,23/584,326/432 is 138713

Greatest Common Factor of 82,584,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,584,432 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 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 82,584,432 . The biggest common factor number is the GCF number.
So the greatest common factor 82,584,432 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 74/82, 23/584, 326/432

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 74/82, 23/584, 326/432?

Answer: LCM of Numerators as per given numbers 74/82, 23/584, 326/432 is

LCM of Numerators i.e. for 74,23,326 is 277426

GCF of denominators i.e. for 82,584,432 is 2.

Thus, LCM of Fractions is 138713.Finally, LCM of Fractions for 74/82, 23/584, 326/432 is 138713.