Least Common Multiple of 228/55, 596/48, 592/16

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 228/55, 596/48, 592/16 quickly i.e. 5027856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 228/55, 596/48, 592/16 is 5027856.

LCM(228/55, 596/48, 592/16) = 5027856

LCM of 228/55, 596/48, 592/16

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 228/55,596/48,592/16

Given numbers are 228/55,596/48,592/16

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 228,596,592

Least Common Multiple of Numerators i.e. LCM of 228,596,592 is 5027856.

GCF of Denominators means GCF of 55,48,16 as per the given fractions.

GCF of 55,48,16 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 228,596,592

LCM of Fractions 228/55,596/48,592/16 is 5027856

2 228, 596, 592
2 114, 298, 296
57, 149, 148

∴ So the LCM of the given numbers is 2 x 2 x 57 x 149 x 148 = 5027856

Least Common Multiple of 228,596,592 with GCF Formula

Least Common Multiple of 228,596,592 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 228,596,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,596,592) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(228,596,592) x common factors =4 x 4 = 16

LCM(228,596,592) = ( 228 × 596 × 592 ) / 16

LCM(228,596,592) = 80445696 / 16

LCM(228,596,592) = 5027856


Lets's calculate GCF of 55,48,16

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5027856/1

Therefore the LCM of Fractions 228/55,596/48,592/16 is 5027856

Greatest Common Factor of 55,48,16 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,48,16 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

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 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Greatest Common Factor

We found the factors 55,48,16 . The biggest common factor number is the GCF number.
So the greatest common factor 55,48,16 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 228/55, 596/48, 592/16

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 228/55, 596/48, 592/16?

Answer: LCM of Numerators as per given numbers 228/55, 596/48, 592/16 is

LCM of Numerators i.e. for 228,596,592 is 5027856

GCF of denominators i.e. for 55,48,16 is 1.

Thus, LCM of Fractions is 5027856.Finally, LCM of Fractions for 228/55, 596/48, 592/16 is 5027856.