Least Common Multiple of 209/40, 984/51, 162/583

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 209/40, 984/51, 162/583 quickly i.e. 5552712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 209/40, 984/51, 162/583 is 5552712.

LCM(209/40, 984/51, 162/583) = 5552712

LCM of 209/40, 984/51, 162/583

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 209/40,984/51,162/583

Given numbers are 209/40,984/51,162/583

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 209,984,162

Least Common Multiple of Numerators i.e. LCM of 209,984,162 is 5552712.

GCF of Denominators means GCF of 40,51,583 as per the given fractions.

GCF of 40,51,583 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 209,984,162

LCM of Fractions 209/40,984/51,162/583 is 5552712

2 209, 984, 162
3 209, 492, 81
209, 164, 27

∴ So the LCM of the given numbers is 2 x 3 x 209 x 164 x 27 = 5552712

Least Common Multiple of 209,984,162 with GCF Formula

Least Common Multiple of 209,984,162 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 209,984,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(209,984,162) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(209,984,162) x common factors =1 x 6 = 6

LCM(209,984,162) = ( 209 × 984 × 162 ) / 6

LCM(209,984,162) = 33316272 / 6

LCM(209,984,162) = 5552712


Lets's calculate GCF of 40,51,583

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5552712/1

Therefore the LCM of Fractions 209/40,984/51,162/583 is 5552712

Greatest Common Factor of 40,51,583 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,51,583 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Greatest Common Factor

We found the factors 40,51,583 . The biggest common factor number is the GCF number.
So the greatest common factor 40,51,583 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 209/40, 984/51, 162/583

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 209/40, 984/51, 162/583?

Answer: LCM of Numerators as per given numbers 209/40, 984/51, 162/583 is

LCM of Numerators i.e. for 209,984,162 is 5552712

GCF of denominators i.e. for 40,51,583 is 1.

Thus, LCM of Fractions is 5552712.Finally, LCM of Fractions for 209/40, 984/51, 162/583 is 5552712.