Least Common Multiple of 824/25, 265/10, 398/43

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 824/25, 265/10, 398/43 quickly i.e. 43453640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 824/25, 265/10, 398/43 is 43453640.

LCM(824/25, 265/10, 398/43) = 43453640

LCM of 824/25, 265/10, 398/43

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 824/25,265/10,398/43

Given numbers are 824/25,265/10,398/43

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 824,265,398

Least Common Multiple of Numerators i.e. LCM of 824,265,398 is 43453640.

GCF of Denominators means GCF of 25,10,43 as per the given fractions.

GCF of 25,10,43 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 824,265,398

LCM of Fractions 824/25,265/10,398/43 is 43453640

2 824, 265, 398
412, 265, 199

∴ So the LCM of the given numbers is 2 x 412 x 265 x 199 = 43453640

Least Common Multiple of 824,265,398 with GCF Formula

Least Common Multiple of 824,265,398 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 824,265,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,265,398) = 1

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

GCF(824,265,398) x common factors =1 x 2 = 2

LCM(824,265,398) = ( 824 × 265 × 398 ) / 2

LCM(824,265,398) = 86907280 / 2

LCM(824,265,398) = 43453640


Lets's calculate GCF of 25,10,43

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43453640/1

Therefore the LCM of Fractions 824/25,265/10,398/43 is 43453640

Greatest Common Factor of 25,10,43 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,10,43 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 10

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

1,2,5,10

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Greatest Common Factor

We found the factors 25,10,43 . The biggest common factor number is the GCF number.
So the greatest common factor 25,10,43 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 824/25, 265/10, 398/43

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 824/25, 265/10, 398/43?

Answer: LCM of Numerators as per given numbers 824/25, 265/10, 398/43 is

LCM of Numerators i.e. for 824,265,398 is 43453640

GCF of denominators i.e. for 25,10,43 is 1.

Thus, LCM of Fractions is 43453640.Finally, LCM of Fractions for 824/25, 265/10, 398/43 is 43453640.