Least Common Multiple of 548/865, 5844/2564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 548/865, 5844/2564 quickly i.e. 800628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 548/865, 5844/2564 is 800628.

LCM(548/865, 5844/2564) = 800628

LCM of 548/865, 5844/2564

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 548/865,5844/2564

Given numbers are 548/865,5844/2564

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 548,5844

Least Common Multiple of Numerators i.e. LCM of 548,5844 is 800628.

GCF of Denominators means GCF of 865,2564 as per the given fractions.

GCF of 865,2564 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 548,5844

LCM of Fractions 548/865,5844/2564 is 800628

2 548, 5844
2 274, 2922
137, 1461

∴ So the LCM of the given numbers is 2 x 2 x 137 x 1461 = 800628

Least Common Multiple of 548,5844 with GCF Formula

Least Common Multiple of 548,5844 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 548,5844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(548,5844) = 4

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

GCF(548,5844) x common factors =4 x 1 = 4

LCM(548,5844) = ( 548 × 5844 ) / 4

LCM(548,5844) = 3202512 / 4

LCM(548,5844) = 800628


Lets's calculate GCF of 865,2564

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 800628/1

Therefore the LCM of Fractions 548/865,5844/2564 is 800628

Greatest Common Factor of 865,2564 By Matching Biggest Common Factor Method

Greatest Common Factor of 865,2564 By Matching Biggest Common Factor Method

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Factors of 2564

List of positive integer factors of 2564 that divides 2564 without a remainder.

1,2,4,641,1282,2564

Greatest Common Factor

We found the factors 865,2564 . The biggest common factor number is the GCF number.
So the greatest common factor 865,2564 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 548/865, 5844/2564

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 548/865, 5844/2564?

Answer: LCM of Numerators as per given numbers 548/865, 5844/2564 is

LCM of Numerators i.e. for 548,5844 is 800628

GCF of denominators i.e. for 865,2564 is 1.

Thus, LCM of Fractions is 800628.Finally, LCM of Fractions for 548/865, 5844/2564 is 800628.