Least Common Multiple of 78/82, 62/47, 27/99, 39/928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/82, 62/47, 27/99, 39/928 quickly i.e. 21762 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/82, 62/47, 27/99, 39/928 is 21762.

LCM(78/82, 62/47, 27/99, 39/928) = 21762

LCM of 78/82, 62/47, 27/99, 39/928

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 78/82,62/47,27/99,39/928

Given numbers are 78/82,62/47,27/99,39/928

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 78,62,27,39

Least Common Multiple of Numerators i.e. LCM of 78,62,27,39 is 21762.

GCF of Denominators means GCF of 82,47,99,928 as per the given fractions.

GCF of 82,47,99,928 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,62,27,39

LCM of Fractions 78/82,62/47,27/99,39/928 is 21762

2 78, 62, 27, 39
3 39, 31, 27, 39
13 13, 31, 9, 13
1, 31, 9, 1

∴ So the LCM of the given numbers is 2 x 3 x 13 x 1 x 31 x 9 x 1 = 21762

Least Common Multiple of 78,62,27,39 with GCF Formula

Least Common Multiple of 78,62,27,39 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 78,62,27,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,62,27,39) = 1

common factors(in case of two or more numbers have common factors) = 234

GCF(78,62,27,39) x common factors =1 x 234 = 234

LCM(78,62,27,39) = ( 78 × 62 × 27 × 39 ) / 234

LCM(78,62,27,39) = 5092308 / 234

LCM(78,62,27,39) = 21762


Lets's calculate GCF of 82,47,99,928

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21762/1

Therefore the LCM of Fractions 78/82,62/47,27/99,39/928 is 21762

Greatest Common Factor of 82,47,99,928 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,47,99,928 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 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Greatest Common Factor

We found the factors 82,47,99,928 . The biggest common factor number is the GCF number.
So the greatest common factor 82,47,99,928 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 78/82, 62/47, 27/99, 39/928

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 78/82, 62/47, 27/99, 39/928?

Answer: LCM of Numerators as per given numbers 78/82, 62/47, 27/99, 39/928 is

LCM of Numerators i.e. for 78,62,27,39 is 21762

GCF of denominators i.e. for 82,47,99,928 is 1.

Thus, LCM of Fractions is 21762.Finally, LCM of Fractions for 78/82, 62/47, 27/99, 39/928 is 21762.