Least Common Multiple of 228/28, 827/9292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 228/28, 827/9292 quickly i.e. 47139 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 228/28, 827/9292 is 47139.

LCM(228/28, 827/9292) = 47139

LCM of 228/28, 827/9292

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 228/28,827/9292

Given numbers are 228/28,827/9292

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 228,827

Least Common Multiple of Numerators i.e. LCM of 228,827 is 188556.

GCF of Denominators means GCF of 28,9292 as per the given fractions.

GCF of 28,9292 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 228,827

LCM of Fractions 228/28,827/9292 is 47139

Given numbers has no common factors except 1. So, there LCM is their product i.e 188556

Least Common Multiple of 228,827 with GCF Formula

Least Common Multiple of 228,827 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 228,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,827) = 1

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

GCF(228,827) x common factors =1 x 1 = 1

LCM(228,827) = ( 228 × 827 ) / 1

LCM(228,827) = 188556 / 1

LCM(228,827) = 188556


Lets's calculate GCF of 28,9292

2 28, 9292
2 14, 4646
7, 2323

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 188556/4

Therefore the LCM of Fractions 228/28,827/9292 is 47139

Greatest Common Factor of 28,9292 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,9292 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 9292

List of positive integer factors of 9292 that divides 9292 without a remainder.

1,2,4,23,46,92,101,202,404,2323,4646,9292

Greatest Common Factor

We found the factors 28,9292 . The biggest common factor number is the GCF number.
So the greatest common factor 28,9292 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 228/28, 827/9292

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 228/28, 827/9292?

Answer: LCM of Numerators as per given numbers 228/28, 827/9292 is

LCM of Numerators i.e. for 228,827 is 188556

GCF of denominators i.e. for 28,9292 is 4.

Thus, LCM of Fractions is 47139.Finally, LCM of Fractions for 228/28, 827/9292 is 47139.