Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 261/471, 1917/4334 quickly i.e. 55593 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 261/471, 1917/4334 is 55593.
LCM(261/471, 1917/4334) = 55593
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 261/471,1917/4334
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 261,1917
Least Common Multiple of Numerators i.e. LCM of 261,1917 is 55593.
GCF of Denominators means GCF of 471,4334 as per the given fractions.
GCF of 471,4334 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 261,1917
3 | 261, 1917 |
3 | 87, 639 |
29, 213 |
∴ So the LCM of the given numbers is 3 x 3 x 29 x 213 = 55593
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 261,1917 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(261,1917) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(261,1917) x common factors =9 x 1 = 9
LCM(261,1917) = ( 261 × 1917 ) / 9
LCM(261,1917) = 500337 / 9
LCM(261,1917) = 55593
Lets's calculate GCF of 471,4334
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55593/1
Therefore the LCM of Fractions 261/471,1917/4334 is 55593
Factors of 471
List of positive integer factors of 471 that divides 471 without a remainder.
1,3,157,471
Factors of 4334
List of positive integer factors of 4334 that divides 4334 without a remainder.
1,2,11,22,197,394,2167,4334
Greatest Common Factor
We found the factors 471,4334 . The biggest common factor number is the GCF number.
So the greatest common factor 471,4334 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 261/471, 1917/4334?
Answer: LCM of Numerators as per given numbers 261/471, 1917/4334 is
LCM of Numerators i.e. for 261,1917 is 55593
GCF of denominators i.e. for 471,4334 is 1.
Thus, LCM of Fractions is 55593.Finally, LCM of Fractions for 261/471, 1917/4334 is 55593.