Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 522/94, 813/9919 quickly i.e. 141462 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 522/94, 813/9919 is 141462.
LCM(522/94, 813/9919) = 141462
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 522/94,813/9919
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 522,813
Least Common Multiple of Numerators i.e. LCM of 522,813 is 141462.
GCF of Denominators means GCF of 94,9919 as per the given fractions.
GCF of 94,9919 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 522,813
3 | 522, 813 |
174, 271 |
∴ So the LCM of the given numbers is 3 x 174 x 271 = 141462
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 522,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,813) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(522,813) x common factors =3 x 1 = 3
LCM(522,813) = ( 522 × 813 ) / 3
LCM(522,813) = 424386 / 3
LCM(522,813) = 141462
Lets's calculate GCF of 94,9919
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141462/1
Therefore the LCM of Fractions 522/94,813/9919 is 141462
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 9919
List of positive integer factors of 9919 that divides 9919 without a remainder.
1,7,13,91,109,763,1417,9919
Greatest Common Factor
We found the factors 94,9919 . The biggest common factor number is the GCF number.
So the greatest common factor 94,9919 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 522/94, 813/9919?
Answer: LCM of Numerators as per given numbers 522/94, 813/9919 is
LCM of Numerators i.e. for 522,813 is 141462
GCF of denominators i.e. for 94,9919 is 1.
Thus, LCM of Fractions is 141462.Finally, LCM of Fractions for 522/94, 813/9919 is 141462.