Least Common Multiple of 5105/588, 4913/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5105/588, 4913/600 quickly i.e. 25080865/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5105/588, 4913/600 is 25080865/12.

LCM(5105/588, 4913/600) = 25080865/12

LCM of 5105/588, 4913/600

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 5105/588,4913/600

Given numbers are 5105/588,4913/600

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 5105,4913

Least Common Multiple of Numerators i.e. LCM of 5105,4913 is 25080865.

GCF of Denominators means GCF of 588,600 as per the given fractions.

GCF of 588,600 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5105,4913

LCM of Fractions 5105/588,4913/600 is 25080865/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 25080865

Least Common Multiple of 5105,4913 with GCF Formula

Least Common Multiple of 5105,4913 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 5105,4913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5105,4913) = 1

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

GCF(5105,4913) x common factors =1 x 1 = 1

LCM(5105,4913) = ( 5105 × 4913 ) / 1

LCM(5105,4913) = 25080865 / 1

LCM(5105,4913) = 25080865


Lets's calculate GCF of 588,600

2 588, 600
2 294, 300
3 147, 150
49, 50

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25080865/12

Therefore the LCM of Fractions 5105/588,4913/600 is 25080865/12

Greatest Common Factor of 588,600 By Matching Biggest Common Factor Method

Greatest Common Factor of 588,600 By Matching Biggest Common Factor Method

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Greatest Common Factor

We found the factors 588,600 . The biggest common factor number is the GCF number.
So the greatest common factor 588,600 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 5105/588, 4913/600

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 5105/588, 4913/600?

Answer: LCM of Numerators as per given numbers 5105/588, 4913/600 is

LCM of Numerators i.e. for 5105,4913 is 25080865

GCF of denominators i.e. for 588,600 is 12.

Thus, LCM of Fractions is 25080865/12.Finally, LCM of Fractions for 5105/588, 4913/600 is 25080865/12.