Least Common Multiple of 983/322, 254/466, 287/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 983/322, 254/466, 287/580 quickly i.e. 35829367 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 983/322, 254/466, 287/580 is 35829367.

LCM(983/322, 254/466, 287/580) = 35829367

LCM of 983/322, 254/466, 287/580

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 983/322,254/466,287/580

Given numbers are 983/322,254/466,287/580

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 983,254,287

Least Common Multiple of Numerators i.e. LCM of 983,254,287 is 71658734.

GCF of Denominators means GCF of 322,466,580 as per the given fractions.

GCF of 322,466,580 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 983,254,287

LCM of Fractions 983/322,254/466,287/580 is 35829367

Given numbers has no common factors except 1. So, there LCM is their product i.e 71658734

Least Common Multiple of 983,254,287 with GCF Formula

Least Common Multiple of 983,254,287 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 983,254,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(983,254,287) = 1

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

GCF(983,254,287) x common factors =1 x 1 = 1

LCM(983,254,287) = ( 983 × 254 × 287 ) / 1

LCM(983,254,287) = 71658734 / 1

LCM(983,254,287) = 71658734


Lets's calculate GCF of 322,466,580

2 322, 466, 580
161, 233, 290

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71658734/2

Therefore the LCM of Fractions 983/322,254/466,287/580 is 35829367

Greatest Common Factor of 322,466,580 By Matching Biggest Common Factor Method

Greatest Common Factor of 322,466,580 By Matching Biggest Common Factor Method

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Greatest Common Factor

We found the factors 322,466,580 . The biggest common factor number is the GCF number.
So the greatest common factor 322,466,580 is 2.


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 983/322, 254/466, 287/580

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 983/322, 254/466, 287/580?

Answer: LCM of Numerators as per given numbers 983/322, 254/466, 287/580 is

LCM of Numerators i.e. for 983,254,287 is 71658734

GCF of denominators i.e. for 322,466,580 is 2.

Thus, LCM of Fractions is 35829367.Finally, LCM of Fractions for 983/322, 254/466, 287/580 is 35829367.