Least Common Multiple of 285/13, 443/2322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 285/13, 443/2322 quickly i.e. 126255 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 285/13, 443/2322 is 126255.

LCM(285/13, 443/2322) = 126255

LCM of 285/13, 443/2322

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 285/13,443/2322

Given numbers are 285/13,443/2322

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 285,443

Least Common Multiple of Numerators i.e. LCM of 285,443 is 126255.

GCF of Denominators means GCF of 13,2322 as per the given fractions.

GCF of 13,2322 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 285,443

LCM of Fractions 285/13,443/2322 is 126255

Given numbers has no common factors except 1. So, there LCM is their product i.e 126255

Least Common Multiple of 285,443 with GCF Formula

Least Common Multiple of 285,443 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 285,443 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,443) = 1

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

GCF(285,443) x common factors =1 x 1 = 1

LCM(285,443) = ( 285 × 443 ) / 1

LCM(285,443) = 126255 / 1

LCM(285,443) = 126255


Lets's calculate GCF of 13,2322

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126255/1

Therefore the LCM of Fractions 285/13,443/2322 is 126255

Greatest Common Factor of 13,2322 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,2322 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 2322

List of positive integer factors of 2322 that divides 2322 without a remainder.

1,2,3,6,9,18,27,43,54,86,129,258,387,774,1161,2322

Greatest Common Factor

We found the factors 13,2322 . The biggest common factor number is the GCF number.
So the greatest common factor 13,2322 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 285/13, 443/2322

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 285/13, 443/2322?

Answer: LCM of Numerators as per given numbers 285/13, 443/2322 is

LCM of Numerators i.e. for 285,443 is 126255

GCF of denominators i.e. for 13,2322 is 1.

Thus, LCM of Fractions is 126255.Finally, LCM of Fractions for 285/13, 443/2322 is 126255.