Least Common Multiple of 104/137, 625/500, 418/217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 104/137, 625/500, 418/217 quickly i.e. 13585000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 104/137, 625/500, 418/217 is 13585000.

LCM(104/137, 625/500, 418/217) = 13585000

LCM of 104/137, 625/500, 418/217

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 104/137,625/500,418/217

Given numbers are 104/137,625/500,418/217

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 104,625,418

Least Common Multiple of Numerators i.e. LCM of 104,625,418 is 13585000.

GCF of Denominators means GCF of 137,500,217 as per the given fractions.

GCF of 137,500,217 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 104,625,418

LCM of Fractions 104/137,625/500,418/217 is 13585000

2 104, 625, 418
52, 625, 209

∴ So the LCM of the given numbers is 2 x 52 x 625 x 209 = 13585000

Least Common Multiple of 104,625,418 with GCF Formula

Least Common Multiple of 104,625,418 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 104,625,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(104,625,418) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(104,625,418) x common factors =1 x 2 = 2

LCM(104,625,418) = ( 104 × 625 × 418 ) / 2

LCM(104,625,418) = 27170000 / 2

LCM(104,625,418) = 13585000


Lets's calculate GCF of 137,500,217

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13585000/1

Therefore the LCM of Fractions 104/137,625/500,418/217 is 13585000

Greatest Common Factor of 137,500,217 By Matching Biggest Common Factor Method

Greatest Common Factor of 137,500,217 By Matching Biggest Common Factor Method

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Greatest Common Factor

We found the factors 137,500,217 . The biggest common factor number is the GCF number.
So the greatest common factor 137,500,217 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 104/137, 625/500, 418/217

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 104/137, 625/500, 418/217?

Answer: LCM of Numerators as per given numbers 104/137, 625/500, 418/217 is

LCM of Numerators i.e. for 104,625,418 is 13585000

GCF of denominators i.e. for 137,500,217 is 1.

Thus, LCM of Fractions is 13585000.Finally, LCM of Fractions for 104/137, 625/500, 418/217 is 13585000.