Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 801/283, 285/250, 913/203 quickly i.e. 69474735 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 801/283, 285/250, 913/203 is 69474735.
LCM(801/283, 285/250, 913/203) = 69474735
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 801/283,285/250,913/203
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 801,285,913
Least Common Multiple of Numerators i.e. LCM of 801,285,913 is 69474735.
GCF of Denominators means GCF of 283,250,203 as per the given fractions.
GCF of 283,250,203 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 801,285,913
3 | 801, 285, 913 |
267, 95, 913 |
∴ So the LCM of the given numbers is 3 x 267 x 95 x 913 = 69474735
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 801,285,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(801,285,913) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(801,285,913) x common factors =1 x 3 = 3
LCM(801,285,913) = ( 801 × 285 × 913 ) / 3
LCM(801,285,913) = 208424205 / 3
LCM(801,285,913) = 69474735
Lets's calculate GCF of 283,250,203
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69474735/1
Therefore the LCM of Fractions 801/283,285/250,913/203 is 69474735
Factors of 283
List of positive integer factors of 283 that divides 283 without a remainder.
1,283
Factors of 250
List of positive integer factors of 250 that divides 250 without a remainder.
1,2,5,10,25,50,125,250
Factors of 203
List of positive integer factors of 203 that divides 203 without a remainder.
1,7,29,203
Greatest Common Factor
We found the factors 283,250,203 . The biggest common factor number is the GCF number.
So the greatest common factor 283,250,203 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 801/283, 285/250, 913/203?
Answer: LCM of Numerators as per given numbers 801/283, 285/250, 913/203 is
LCM of Numerators i.e. for 801,285,913 is 69474735
GCF of denominators i.e. for 283,250,203 is 1.
Thus, LCM of Fractions is 69474735.Finally, LCM of Fractions for 801/283, 285/250, 913/203 is 69474735.