Least Common Multiple of 997/217, 288/283, 584/845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 997/217, 288/283, 584/845 quickly i.e. 20960928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 997/217, 288/283, 584/845 is 20960928.

LCM(997/217, 288/283, 584/845) = 20960928

LCM of 997/217, 288/283, 584/845

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 997/217,288/283,584/845

Given numbers are 997/217,288/283,584/845

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 997,288,584

Least Common Multiple of Numerators i.e. LCM of 997,288,584 is 20960928.

GCF of Denominators means GCF of 217,283,845 as per the given fractions.

GCF of 217,283,845 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 997,288,584

LCM of Fractions 997/217,288/283,584/845 is 20960928

2 997, 288, 584
2 997, 144, 292
2 997, 72, 146
997, 36, 73

∴ So the LCM of the given numbers is 2 x 2 x 2 x 997 x 36 x 73 = 20960928

Least Common Multiple of 997,288,584 with GCF Formula

Least Common Multiple of 997,288,584 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 997,288,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(997,288,584) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(997,288,584) x common factors =1 x 8 = 8

LCM(997,288,584) = ( 997 × 288 × 584 ) / 8

LCM(997,288,584) = 167687424 / 8

LCM(997,288,584) = 20960928


Lets's calculate GCF of 217,283,845

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20960928/1

Therefore the LCM of Fractions 997/217,288/283,584/845 is 20960928

Greatest Common Factor of 217,283,845 By Matching Biggest Common Factor Method

Greatest Common Factor of 217,283,845 By Matching Biggest Common Factor Method

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Greatest Common Factor

We found the factors 217,283,845 . The biggest common factor number is the GCF number.
So the greatest common factor 217,283,845 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 997/217, 288/283, 584/845

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 997/217, 288/283, 584/845?

Answer: LCM of Numerators as per given numbers 997/217, 288/283, 584/845 is

LCM of Numerators i.e. for 997,288,584 is 20960928

GCF of denominators i.e. for 217,283,845 is 1.

Thus, LCM of Fractions is 20960928.Finally, LCM of Fractions for 997/217, 288/283, 584/845 is 20960928.