Least Common Multiple of 82/23, 82/84, 62/36, 39/563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/23, 82/84, 62/36, 39/563 quickly i.e. 99138 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/23, 82/84, 62/36, 39/563 is 99138.

LCM(82/23, 82/84, 62/36, 39/563) = 99138

LCM of 82/23, 82/84, 62/36, 39/563

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 82/23,82/84,62/36,39/563

Given numbers are 82/23,82/84,62/36,39/563

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 82,82,62,39

Least Common Multiple of Numerators i.e. LCM of 82,82,62,39 is 99138.

GCF of Denominators means GCF of 23,84,36,563 as per the given fractions.

GCF of 23,84,36,563 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,82,62,39

LCM of Fractions 82/23,82/84,62/36,39/563 is 99138

2 82, 82, 62, 39
41 41, 41, 31, 39
1, 1, 31, 39

∴ So the LCM of the given numbers is 2 x 41 x 1 x 1 x 31 x 39 = 99138

Least Common Multiple of 82,82,62,39 with GCF Formula

Least Common Multiple of 82,82,62,39 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 82,82,62,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,82,62,39) = 1

common factors(in case of two or more numbers have common factors) = 164

GCF(82,82,62,39) x common factors =1 x 164 = 164

LCM(82,82,62,39) = ( 82 × 82 × 62 × 39 ) / 164

LCM(82,82,62,39) = 16258632 / 164

LCM(82,82,62,39) = 99138


Lets's calculate GCF of 23,84,36,563

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99138/1

Therefore the LCM of Fractions 82/23,82/84,62/36,39/563 is 99138

Greatest Common Factor of 23,84,36,563 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,84,36,563 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Greatest Common Factor

We found the factors 23,84,36,563 . The biggest common factor number is the GCF number.
So the greatest common factor 23,84,36,563 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 82/23, 82/84, 62/36, 39/563

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 82/23, 82/84, 62/36, 39/563?

Answer: LCM of Numerators as per given numbers 82/23, 82/84, 62/36, 39/563 is

LCM of Numerators i.e. for 82,82,62,39 is 99138

GCF of denominators i.e. for 23,84,36,563 is 1.

Thus, LCM of Fractions is 99138.Finally, LCM of Fractions for 82/23, 82/84, 62/36, 39/563 is 99138.