Least Common Multiple of 78/98, 99/48, 52/63, 27/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/98, 99/48, 52/63, 27/294 quickly i.e. 15444 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/98, 99/48, 52/63, 27/294 is 15444.

LCM(78/98, 99/48, 52/63, 27/294) = 15444

LCM of 78/98, 99/48, 52/63, 27/294

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 78/98,99/48,52/63,27/294

Given numbers are 78/98,99/48,52/63,27/294

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 78,99,52,27

Least Common Multiple of Numerators i.e. LCM of 78,99,52,27 is 15444.

GCF of Denominators means GCF of 98,48,63,294 as per the given fractions.

GCF of 98,48,63,294 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,99,52,27

LCM of Fractions 78/98,99/48,52/63,27/294 is 15444

2 78, 99, 52, 27
3 39, 99, 26, 27
3 13, 33, 26, 9
13 13, 11, 26, 3
1, 11, 2, 3

∴ So the LCM of the given numbers is 2 x 3 x 3 x 13 x 1 x 11 x 2 x 3 = 15444

Least Common Multiple of 78,99,52,27 with GCF Formula

Least Common Multiple of 78,99,52,27 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 78,99,52,27 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,99,52,27) = 1

common factors(in case of two or more numbers have common factors) = 702

GCF(78,99,52,27) x common factors =1 x 702 = 702

LCM(78,99,52,27) = ( 78 × 99 × 52 × 27 ) / 702

LCM(78,99,52,27) = 10841688 / 702

LCM(78,99,52,27) = 15444


Lets's calculate GCF of 98,48,63,294

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15444/1

Therefore the LCM of Fractions 78/98,99/48,52/63,27/294 is 15444

Greatest Common Factor of 98,48,63,294 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,48,63,294 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Greatest Common Factor

We found the factors 98,48,63,294 . The biggest common factor number is the GCF number.
So the greatest common factor 98,48,63,294 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 78/98, 99/48, 52/63, 27/294

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 78/98, 99/48, 52/63, 27/294?

Answer: LCM of Numerators as per given numbers 78/98, 99/48, 52/63, 27/294 is

LCM of Numerators i.e. for 78,99,52,27 is 15444

GCF of denominators i.e. for 98,48,63,294 is 1.

Thus, LCM of Fractions is 15444.Finally, LCM of Fractions for 78/98, 99/48, 52/63, 27/294 is 15444.