Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 477/423, 635/896, 795/227 quickly i.e. 302895 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 477/423, 635/896, 795/227 is 302895.
LCM(477/423, 635/896, 795/227) = 302895
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 477/423,635/896,795/227
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 477,635,795
Least Common Multiple of Numerators i.e. LCM of 477,635,795 is 302895.
GCF of Denominators means GCF of 423,896,227 as per the given fractions.
GCF of 423,896,227 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 477,635,795
3 | 477, 635, 795 |
5 | 159, 635, 265 |
53 | 159, 127, 53 |
3, 127, 1 |
∴ So the LCM of the given numbers is 3 x 5 x 53 x 3 x 127 x 1 = 302895
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 477,635,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(477,635,795) = 1
common factors(in case of two or more numbers have common factors) = 795
GCF(477,635,795) x common factors =1 x 795 = 795
LCM(477,635,795) = ( 477 × 635 × 795 ) / 795
LCM(477,635,795) = 240801525 / 795
LCM(477,635,795) = 302895
Lets's calculate GCF of 423,896,227
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 302895/1
Therefore the LCM of Fractions 477/423,635/896,795/227 is 302895
Factors of 423
List of positive integer factors of 423 that divides 423 without a remainder.
1,3,9,47,141,423
Factors of 896
List of positive integer factors of 896 that divides 896 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896
Factors of 227
List of positive integer factors of 227 that divides 227 without a remainder.
1,227
Greatest Common Factor
We found the factors 423,896,227 . The biggest common factor number is the GCF number.
So the greatest common factor 423,896,227 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 477/423, 635/896, 795/227?
Answer: LCM of Numerators as per given numbers 477/423, 635/896, 795/227 is
LCM of Numerators i.e. for 477,635,795 is 302895
GCF of denominators i.e. for 423,896,227 is 1.
Thus, LCM of Fractions is 302895.Finally, LCM of Fractions for 477/423, 635/896, 795/227 is 302895.