Least Common Multiple of 436/42, 286/8223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 436/42, 286/8223 quickly i.e. 62348/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 436/42, 286/8223 is 62348/3.

LCM(436/42, 286/8223) = 62348/3

LCM of 436/42, 286/8223

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 436/42,286/8223

Given numbers are 436/42,286/8223

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 436,286

Least Common Multiple of Numerators i.e. LCM of 436,286 is 62348.

GCF of Denominators means GCF of 42,8223 as per the given fractions.

GCF of 42,8223 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 436,286

LCM of Fractions 436/42,286/8223 is 62348/3

2 436, 286
218, 143

∴ So the LCM of the given numbers is 2 x 218 x 143 = 62348

Least Common Multiple of 436,286 with GCF Formula

Least Common Multiple of 436,286 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 436,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(436,286) = 2

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

GCF(436,286) x common factors =2 x 1 = 2

LCM(436,286) = ( 436 × 286 ) / 2

LCM(436,286) = 124696 / 2

LCM(436,286) = 62348


Lets's calculate GCF of 42,8223

3 42, 8223
14, 2741

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62348/3

Therefore the LCM of Fractions 436/42,286/8223 is 62348/3

Greatest Common Factor of 42,8223 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,8223 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 8223

List of positive integer factors of 8223 that divides 8223 without a remainder.

1,3,2741,8223

Greatest Common Factor

We found the factors 42,8223 . The biggest common factor number is the GCF number.
So the greatest common factor 42,8223 is 3.


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 436/42, 286/8223

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 436/42, 286/8223?

Answer: LCM of Numerators as per given numbers 436/42, 286/8223 is

LCM of Numerators i.e. for 436,286 is 62348

GCF of denominators i.e. for 42,8223 is 3.

Thus, LCM of Fractions is 62348/3.Finally, LCM of Fractions for 436/42, 286/8223 is 62348/3.