Least Common Multiple of 827/28, 159/5224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 827/28, 159/5224 quickly i.e. 131493/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 827/28, 159/5224 is 131493/4.

LCM(827/28, 159/5224) = 131493/4

LCM of 827/28, 159/5224

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 827/28,159/5224

Given numbers are 827/28,159/5224

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 827,159

Least Common Multiple of Numerators i.e. LCM of 827,159 is 131493.

GCF of Denominators means GCF of 28,5224 as per the given fractions.

GCF of 28,5224 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 827,159

LCM of Fractions 827/28,159/5224 is 131493/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 131493

Least Common Multiple of 827,159 with GCF Formula

Least Common Multiple of 827,159 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 827,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,159) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(827,159) x common factors =1 x 1 = 1

LCM(827,159) = ( 827 × 159 ) / 1

LCM(827,159) = 131493 / 1

LCM(827,159) = 131493


Lets's calculate GCF of 28,5224

2 28, 5224
2 14, 2612
7, 1306

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131493/4

Therefore the LCM of Fractions 827/28,159/5224 is 131493/4

Greatest Common Factor of 28,5224 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,5224 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 5224

List of positive integer factors of 5224 that divides 5224 without a remainder.

1,2,4,8,653,1306,2612,5224

Greatest Common Factor

We found the factors 28,5224 . The biggest common factor number is the GCF number.
So the greatest common factor 28,5224 is 4.


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 827/28, 159/5224

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 827/28, 159/5224?

Answer: LCM of Numerators as per given numbers 827/28, 159/5224 is

LCM of Numerators i.e. for 827,159 is 131493

GCF of denominators i.e. for 28,5224 is 4.

Thus, LCM of Fractions is 131493/4.Finally, LCM of Fractions for 827/28, 159/5224 is 131493/4.