Least Common Multiple of 104/10, 500/4854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 104/10, 500/4854 quickly i.e. 6500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 104/10, 500/4854 is 6500.

LCM(104/10, 500/4854) = 6500

LCM of 104/10, 500/4854

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 104/10,500/4854

Given numbers are 104/10,500/4854

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 104,500

Least Common Multiple of Numerators i.e. LCM of 104,500 is 13000.

GCF of Denominators means GCF of 10,4854 as per the given fractions.

GCF of 10,4854 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 104,500

LCM of Fractions 104/10,500/4854 is 6500

2 104, 500
2 52, 250
26, 125

∴ So the LCM of the given numbers is 2 x 2 x 26 x 125 = 13000

Least Common Multiple of 104,500 with GCF Formula

Least Common Multiple of 104,500 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 104,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(104,500) = 4

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

GCF(104,500) x common factors =4 x 1 = 4

LCM(104,500) = ( 104 × 500 ) / 4

LCM(104,500) = 52000 / 4

LCM(104,500) = 13000


Lets's calculate GCF of 10,4854

2 10, 4854
5, 2427

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13000/2

Therefore the LCM of Fractions 104/10,500/4854 is 6500

Greatest Common Factor of 10,4854 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,4854 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 4854

List of positive integer factors of 4854 that divides 4854 without a remainder.

1,2,3,6,809,1618,2427,4854

Greatest Common Factor

We found the factors 10,4854 . The biggest common factor number is the GCF number.
So the greatest common factor 10,4854 is 2.


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 104/10, 500/4854

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 104/10, 500/4854?

Answer: LCM of Numerators as per given numbers 104/10, 500/4854 is

LCM of Numerators i.e. for 104,500 is 13000

GCF of denominators i.e. for 10,4854 is 2.

Thus, LCM of Fractions is 6500.Finally, LCM of Fractions for 104/10, 500/4854 is 6500.