Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 285/100, 326/109, 584/196 quickly i.e. 27129720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 285/100, 326/109, 584/196 is 27129720.
LCM(285/100, 326/109, 584/196) = 27129720
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 285/100,326/109,584/196
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 285,326,584
Least Common Multiple of Numerators i.e. LCM of 285,326,584 is 27129720.
GCF of Denominators means GCF of 100,109,196 as per the given fractions.
GCF of 100,109,196 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 285,326,584
2 | 285, 326, 584 |
285, 163, 292 |
∴ So the LCM of the given numbers is 2 x 285 x 163 x 292 = 27129720
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 285,326,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(285,326,584) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(285,326,584) x common factors =1 x 2 = 2
LCM(285,326,584) = ( 285 × 326 × 584 ) / 2
LCM(285,326,584) = 54259440 / 2
LCM(285,326,584) = 27129720
Lets's calculate GCF of 100,109,196
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27129720/1
Therefore the LCM of Fractions 285/100,326/109,584/196 is 27129720
Factors of 100
List of positive integer factors of 100 that divides 100 without a remainder.
1,2,4,5,10,20,25,50,100
Factors of 109
List of positive integer factors of 109 that divides 109 without a remainder.
1,109
Factors of 196
List of positive integer factors of 196 that divides 196 without a remainder.
1,2,4,7,14,28,49,98,196
Greatest Common Factor
We found the factors 100,109,196 . The biggest common factor number is the GCF number.
So the greatest common factor 100,109,196 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 285/100, 326/109, 584/196?
Answer: LCM of Numerators as per given numbers 285/100, 326/109, 584/196 is
LCM of Numerators i.e. for 285,326,584 is 27129720
GCF of denominators i.e. for 100,109,196 is 1.
Thus, LCM of Fractions is 27129720.Finally, LCM of Fractions for 285/100, 326/109, 584/196 is 27129720.