Least Common Multiple of 228/52, 4224/533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 228/52, 4224/533 quickly i.e. 80256/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 228/52, 4224/533 is 80256/13.

LCM(228/52, 4224/533) = 80256/13

LCM of 228/52, 4224/533

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 228/52,4224/533

Given numbers are 228/52,4224/533

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 228,4224

Least Common Multiple of Numerators i.e. LCM of 228,4224 is 80256.

GCF of Denominators means GCF of 52,533 as per the given fractions.

GCF of 52,533 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 228,4224

LCM of Fractions 228/52,4224/533 is 80256/13

2 228, 4224
2 114, 2112
3 57, 1056
19, 352

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 352 = 80256

Least Common Multiple of 228,4224 with GCF Formula

Least Common Multiple of 228,4224 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 228,4224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,4224) = 12

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

GCF(228,4224) x common factors =12 x 1 = 12

LCM(228,4224) = ( 228 × 4224 ) / 12

LCM(228,4224) = 963072 / 12

LCM(228,4224) = 80256


Lets's calculate GCF of 52,533

13 52, 533
4, 41

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80256/13

Therefore the LCM of Fractions 228/52,4224/533 is 80256/13

Greatest Common Factor of 52,533 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,533 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Greatest Common Factor

We found the factors 52,533 . The biggest common factor number is the GCF number.
So the greatest common factor 52,533 is 13.


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 228/52, 4224/533

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 228/52, 4224/533?

Answer: LCM of Numerators as per given numbers 228/52, 4224/533 is

LCM of Numerators i.e. for 228,4224 is 80256

GCF of denominators i.e. for 52,533 is 13.

Thus, LCM of Fractions is 80256/13.Finally, LCM of Fractions for 228/52, 4224/533 is 80256/13.