Least Common Multiple of 8431/745, 4523/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8431/745, 4523/118 quickly i.e. 38133413 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8431/745, 4523/118 is 38133413.

LCM(8431/745, 4523/118) = 38133413

LCM of 8431/745, 4523/118

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 8431/745,4523/118

Given numbers are 8431/745,4523/118

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 8431,4523

Least Common Multiple of Numerators i.e. LCM of 8431,4523 is 38133413.

GCF of Denominators means GCF of 745,118 as per the given fractions.

GCF of 745,118 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8431,4523

LCM of Fractions 8431/745,4523/118 is 38133413

Given numbers has no common factors except 1. So, there LCM is their product i.e 38133413

Least Common Multiple of 8431,4523 with GCF Formula

Least Common Multiple of 8431,4523 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 8431,4523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8431,4523) = 1

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

GCF(8431,4523) x common factors =1 x 1 = 1

LCM(8431,4523) = ( 8431 × 4523 ) / 1

LCM(8431,4523) = 38133413 / 1

LCM(8431,4523) = 38133413


Lets's calculate GCF of 745,118

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38133413/1

Therefore the LCM of Fractions 8431/745,4523/118 is 38133413

Greatest Common Factor of 745,118 By Matching Biggest Common Factor Method

Greatest Common Factor of 745,118 By Matching Biggest Common Factor Method

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Greatest Common Factor

We found the factors 745,118 . The biggest common factor number is the GCF number.
So the greatest common factor 745,118 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 8431/745, 4523/118

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 8431/745, 4523/118?

Answer: LCM of Numerators as per given numbers 8431/745, 4523/118 is

LCM of Numerators i.e. for 8431,4523 is 38133413

GCF of denominators i.e. for 745,118 is 1.

Thus, LCM of Fractions is 38133413.Finally, LCM of Fractions for 8431/745, 4523/118 is 38133413.