Least Common Multiple of 27/59, 98/50, 56/76, 28/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/59, 98/50, 56/76, 28/365 quickly i.e. 10584 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/59, 98/50, 56/76, 28/365 is 10584.

LCM(27/59, 98/50, 56/76, 28/365) = 10584

LCM of 27/59, 98/50, 56/76, 28/365

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 27/59,98/50,56/76,28/365

Given numbers are 27/59,98/50,56/76,28/365

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 27,98,56,28

Least Common Multiple of Numerators i.e. LCM of 27,98,56,28 is 10584.

GCF of Denominators means GCF of 59,50,76,365 as per the given fractions.

GCF of 59,50,76,365 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,98,56,28

LCM of Fractions 27/59,98/50,56/76,28/365 is 10584

2 27, 98, 56, 28
2 27, 49, 28, 14
7 27, 49, 7, 14
27, 1, 7, 2

∴ So the LCM of the given numbers is 2 x 2 x 7 x 27 x 1 x 7 x 2 = 10584

Least Common Multiple of 27,98,56,28 with GCF Formula

Least Common Multiple of 27,98,56,28 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 27,98,56,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,98,56,28) = 1

common factors(in case of two or more numbers have common factors) = 392

GCF(27,98,56,28) x common factors =1 x 392 = 392

LCM(27,98,56,28) = ( 27 × 98 × 56 × 28 ) / 392

LCM(27,98,56,28) = 4148928 / 392

LCM(27,98,56,28) = 10584


Lets's calculate GCF of 59,50,76,365

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10584/1

Therefore the LCM of Fractions 27/59,98/50,56/76,28/365 is 10584

Greatest Common Factor of 59,50,76,365 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,50,76,365 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Greatest Common Factor

We found the factors 59,50,76,365 . The biggest common factor number is the GCF number.
So the greatest common factor 59,50,76,365 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 27/59, 98/50, 56/76, 28/365

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 27/59, 98/50, 56/76, 28/365?

Answer: LCM of Numerators as per given numbers 27/59, 98/50, 56/76, 28/365 is

LCM of Numerators i.e. for 27,98,56,28 is 10584

GCF of denominators i.e. for 59,50,76,365 is 1.

Thus, LCM of Fractions is 10584.Finally, LCM of Fractions for 27/59, 98/50, 56/76, 28/365 is 10584.