Least Common Multiple of 44/48, 725/12, 902/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/48, 725/12, 902/228 quickly i.e. 1307900/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/48, 725/12, 902/228 is 1307900/12.

LCM(44/48, 725/12, 902/228) = 1307900/12

LCM of 44/48, 725/12, 902/228

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 44/48,725/12,902/228

Given numbers are 44/48,725/12,902/228

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 44,725,902

Least Common Multiple of Numerators i.e. LCM of 44,725,902 is 1307900.

GCF of Denominators means GCF of 48,12,228 as per the given fractions.

GCF of 48,12,228 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,725,902

LCM of Fractions 44/48,725/12,902/228 is 1307900/12

2 44, 725, 902
11 22, 725, 451
2, 725, 41

∴ So the LCM of the given numbers is 2 x 11 x 2 x 725 x 41 = 1307900

Least Common Multiple of 44,725,902 with GCF Formula

Least Common Multiple of 44,725,902 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 44,725,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,725,902) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(44,725,902) x common factors =1 x 22 = 22

LCM(44,725,902) = ( 44 × 725 × 902 ) / 22

LCM(44,725,902) = 28773800 / 22

LCM(44,725,902) = 1307900


Lets's calculate GCF of 48,12,228

2 48, 12, 228
2 24, 6, 114
3 12, 3, 57
4, 1, 19

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1307900/12

Therefore the LCM of Fractions 44/48,725/12,902/228 is 1307900/12

Greatest Common Factor of 48,12,228 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,12,228 By Matching Biggest Common Factor Method

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 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Greatest Common Factor

We found the factors 48,12,228 . The biggest common factor number is the GCF number.
So the greatest common factor 48,12,228 is 12.


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 44/48, 725/12, 902/228

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 44/48, 725/12, 902/228?

Answer: LCM of Numerators as per given numbers 44/48, 725/12, 902/228 is

LCM of Numerators i.e. for 44,725,902 is 1307900

GCF of denominators i.e. for 48,12,228 is 12.

Thus, LCM of Fractions is 1307900/12.Finally, LCM of Fractions for 44/48, 725/12, 902/228 is 1307900/12.