Least Common Multiple of 18/83, 443/61, 281/973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/83, 443/61, 281/973 quickly i.e. 2240694 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/83, 443/61, 281/973 is 2240694.

LCM(18/83, 443/61, 281/973) = 2240694

LCM of 18/83, 443/61, 281/973

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 18/83,443/61,281/973

Given numbers are 18/83,443/61,281/973

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 18,443,281

Least Common Multiple of Numerators i.e. LCM of 18,443,281 is 2240694.

GCF of Denominators means GCF of 83,61,973 as per the given fractions.

GCF of 83,61,973 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,443,281

LCM of Fractions 18/83,443/61,281/973 is 2240694

Given numbers has no common factors except 1. So, there LCM is their product i.e 2240694

Least Common Multiple of 18,443,281 with GCF Formula

Least Common Multiple of 18,443,281 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 18,443,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,443,281) = 1

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

GCF(18,443,281) x common factors =1 x 1 = 1

LCM(18,443,281) = ( 18 × 443 × 281 ) / 1

LCM(18,443,281) = 2240694 / 1

LCM(18,443,281) = 2240694


Lets's calculate GCF of 83,61,973

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2240694/1

Therefore the LCM of Fractions 18/83,443/61,281/973 is 2240694

Greatest Common Factor of 83,61,973 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,61,973 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Greatest Common Factor

We found the factors 83,61,973 . The biggest common factor number is the GCF number.
So the greatest common factor 83,61,973 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 18/83, 443/61, 281/973

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 18/83, 443/61, 281/973?

Answer: LCM of Numerators as per given numbers 18/83, 443/61, 281/973 is

LCM of Numerators i.e. for 18,443,281 is 2240694

GCF of denominators i.e. for 83,61,973 is 1.

Thus, LCM of Fractions is 2240694.Finally, LCM of Fractions for 18/83, 443/61, 281/973 is 2240694.