Least Common Multiple of 48/255, 5236/5892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/255, 5236/5892 quickly i.e. 20944 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/255, 5236/5892 is 20944.

LCM(48/255, 5236/5892) = 20944

LCM of 48/255, 5236/5892

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 48/255,5236/5892

Given numbers are 48/255,5236/5892

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 48,5236

Least Common Multiple of Numerators i.e. LCM of 48,5236 is 62832.

GCF of Denominators means GCF of 255,5892 as per the given fractions.

GCF of 255,5892 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,5236

LCM of Fractions 48/255,5236/5892 is 20944

2 48, 5236
2 24, 2618
12, 1309

∴ So the LCM of the given numbers is 2 x 2 x 12 x 1309 = 62832

Least Common Multiple of 48,5236 with GCF Formula

Least Common Multiple of 48,5236 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 48,5236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,5236) = 4

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

GCF(48,5236) x common factors =4 x 1 = 4

LCM(48,5236) = ( 48 × 5236 ) / 4

LCM(48,5236) = 251328 / 4

LCM(48,5236) = 62832


Lets's calculate GCF of 255,5892

3 255, 5892
85, 1964

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62832/3

Therefore the LCM of Fractions 48/255,5236/5892 is 20944

Greatest Common Factor of 255,5892 By Matching Biggest Common Factor Method

Greatest Common Factor of 255,5892 By Matching Biggest Common Factor Method

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Factors of 5892

List of positive integer factors of 5892 that divides 5892 without a remainder.

1,2,3,4,6,12,491,982,1473,1964,2946,5892

Greatest Common Factor

We found the factors 255,5892 . The biggest common factor number is the GCF number.
So the greatest common factor 255,5892 is 3.


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 48/255, 5236/5892

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 48/255, 5236/5892?

Answer: LCM of Numerators as per given numbers 48/255, 5236/5892 is

LCM of Numerators i.e. for 48,5236 is 62832

GCF of denominators i.e. for 255,5892 is 3.

Thus, LCM of Fractions is 20944.Finally, LCM of Fractions for 48/255, 5236/5892 is 20944.