Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/527, 4331/2414 quickly i.e. 203557/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/527, 4331/2414 is 203557/17.
LCM(47/527, 4331/2414) = 203557/17
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/527,4331/2414
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 47,4331
Least Common Multiple of Numerators i.e. LCM of 47,4331 is 203557.
GCF of Denominators means GCF of 527,2414 as per the given fractions.
GCF of 527,2414 is 17 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,4331
Given numbers has no common factors except 1. So, there LCM is their product i.e 203557
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 47,4331 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,4331) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,4331) x common factors =1 x 1 = 1
LCM(47,4331) = ( 47 × 4331 ) / 1
LCM(47,4331) = 203557 / 1
LCM(47,4331) = 203557
Lets's calculate GCF of 527,2414
17 | 527, 2414 |
31, 142 |
∴ So the GCF of the given numbers is 17 = 17
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 203557/17
Therefore the LCM of Fractions 47/527,4331/2414 is 203557/17
Factors of 527
List of positive integer factors of 527 that divides 527 without a remainder.
1,17,31,527
Factors of 2414
List of positive integer factors of 2414 that divides 2414 without a remainder.
1,2,17,34,71,142,1207,2414
Greatest Common Factor
We found the factors 527,2414 . The biggest common factor number is the GCF number.
So the greatest common factor 527,2414 is 17.
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 47/527, 4331/2414?
Answer: LCM of Numerators as per given numbers 47/527, 4331/2414 is
LCM of Numerators i.e. for 47,4331 is 203557
GCF of denominators i.e. for 527,2414 is 17.
Thus, LCM of Fractions is 203557/17.Finally, LCM of Fractions for 47/527, 4331/2414 is 203557/17.