Least Common Multiple of 9354/125, 6832/6584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9354/125, 6832/6584 quickly i.e. 31953264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9354/125, 6832/6584 is 31953264.

LCM(9354/125, 6832/6584) = 31953264

LCM of 9354/125, 6832/6584

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 9354/125,6832/6584

Given numbers are 9354/125,6832/6584

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 9354,6832

Least Common Multiple of Numerators i.e. LCM of 9354,6832 is 31953264.

GCF of Denominators means GCF of 125,6584 as per the given fractions.

GCF of 125,6584 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9354,6832

LCM of Fractions 9354/125,6832/6584 is 31953264

2 9354, 6832
4677, 3416

∴ So the LCM of the given numbers is 2 x 4677 x 3416 = 31953264

Least Common Multiple of 9354,6832 with GCF Formula

Least Common Multiple of 9354,6832 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 9354,6832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9354,6832) = 2

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

GCF(9354,6832) x common factors =2 x 1 = 2

LCM(9354,6832) = ( 9354 × 6832 ) / 2

LCM(9354,6832) = 63906528 / 2

LCM(9354,6832) = 31953264


Lets's calculate GCF of 125,6584

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31953264/1

Therefore the LCM of Fractions 9354/125,6832/6584 is 31953264

Greatest Common Factor of 125,6584 By Matching Biggest Common Factor Method

Greatest Common Factor of 125,6584 By Matching Biggest Common Factor Method

Factors of 125

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

1,5,25,125

Factors of 6584

List of positive integer factors of 6584 that divides 6584 without a remainder.

1,2,4,8,823,1646,3292,6584

Greatest Common Factor

We found the factors 125,6584 . The biggest common factor number is the GCF number.
So the greatest common factor 125,6584 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 9354/125, 6832/6584

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 9354/125, 6832/6584?

Answer: LCM of Numerators as per given numbers 9354/125, 6832/6584 is

LCM of Numerators i.e. for 9354,6832 is 31953264

GCF of denominators i.e. for 125,6584 is 1.

Thus, LCM of Fractions is 31953264.Finally, LCM of Fractions for 9354/125, 6832/6584 is 31953264.