Least Common Multiple of 8238/454, 7359/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8238/454, 7359/143 quickly i.e. 20207814 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8238/454, 7359/143 is 20207814.

LCM(8238/454, 7359/143) = 20207814

LCM of 8238/454, 7359/143

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 8238/454,7359/143

Given numbers are 8238/454,7359/143

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 8238,7359

Least Common Multiple of Numerators i.e. LCM of 8238,7359 is 20207814.

GCF of Denominators means GCF of 454,143 as per the given fractions.

GCF of 454,143 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8238,7359

LCM of Fractions 8238/454,7359/143 is 20207814

3 8238, 7359
2746, 2453

∴ So the LCM of the given numbers is 3 x 2746 x 2453 = 20207814

Least Common Multiple of 8238,7359 with GCF Formula

Least Common Multiple of 8238,7359 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 8238,7359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8238,7359) = 3

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

GCF(8238,7359) x common factors =3 x 1 = 3

LCM(8238,7359) = ( 8238 × 7359 ) / 3

LCM(8238,7359) = 60623442 / 3

LCM(8238,7359) = 20207814


Lets's calculate GCF of 454,143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20207814/1

Therefore the LCM of Fractions 8238/454,7359/143 is 20207814

Greatest Common Factor of 454,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 454,143 By Matching Biggest Common Factor Method

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Greatest Common Factor

We found the factors 454,143 . The biggest common factor number is the GCF number.
So the greatest common factor 454,143 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 8238/454, 7359/143

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 8238/454, 7359/143?

Answer: LCM of Numerators as per given numbers 8238/454, 7359/143 is

LCM of Numerators i.e. for 8238,7359 is 20207814

GCF of denominators i.e. for 454,143 is 1.

Thus, LCM of Fractions is 20207814.Finally, LCM of Fractions for 8238/454, 7359/143 is 20207814.