Least Common Multiple of 8684/438, 5226/125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8684/438, 5226/125 quickly i.e. 1745484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8684/438, 5226/125 is 1745484.

LCM(8684/438, 5226/125) = 1745484

LCM of 8684/438, 5226/125

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 8684/438,5226/125

Given numbers are 8684/438,5226/125

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 8684,5226

Least Common Multiple of Numerators i.e. LCM of 8684,5226 is 1745484.

GCF of Denominators means GCF of 438,125 as per the given fractions.

GCF of 438,125 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8684,5226

LCM of Fractions 8684/438,5226/125 is 1745484

2 8684, 5226
13 4342, 2613
334, 201

∴ So the LCM of the given numbers is 2 x 13 x 334 x 201 = 1745484

Least Common Multiple of 8684,5226 with GCF Formula

Least Common Multiple of 8684,5226 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 8684,5226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8684,5226) = 26

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

GCF(8684,5226) x common factors =26 x 1 = 26

LCM(8684,5226) = ( 8684 × 5226 ) / 26

LCM(8684,5226) = 45382584 / 26

LCM(8684,5226) = 1745484


Lets's calculate GCF of 438,125

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1745484/1

Therefore the LCM of Fractions 8684/438,5226/125 is 1745484

Greatest Common Factor of 438,125 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,125 By Matching Biggest Common Factor Method

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Greatest Common Factor

We found the factors 438,125 . The biggest common factor number is the GCF number.
So the greatest common factor 438,125 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 8684/438, 5226/125

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 8684/438, 5226/125?

Answer: LCM of Numerators as per given numbers 8684/438, 5226/125 is

LCM of Numerators i.e. for 8684,5226 is 1745484

GCF of denominators i.e. for 438,125 is 1.

Thus, LCM of Fractions is 1745484.Finally, LCM of Fractions for 8684/438, 5226/125 is 1745484.