Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9519/105, 5022/470 quickly i.e. 15934806/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9519/105, 5022/470 is 15934806/5.
LCM(9519/105, 5022/470) = 15934806/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9519/105,5022/470
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 9519,5022
Least Common Multiple of Numerators i.e. LCM of 9519,5022 is 15934806.
GCF of Denominators means GCF of 105,470 as per the given fractions.
GCF of 105,470 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9519,5022
3 | 9519, 5022 |
3173, 1674 |
∴ So the LCM of the given numbers is 3 x 3173 x 1674 = 15934806
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 9519,5022 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9519,5022) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(9519,5022) x common factors =3 x 1 = 3
LCM(9519,5022) = ( 9519 × 5022 ) / 3
LCM(9519,5022) = 47804418 / 3
LCM(9519,5022) = 15934806
Lets's calculate GCF of 105,470
5 | 105, 470 |
21, 94 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15934806/5
Therefore the LCM of Fractions 9519/105,5022/470 is 15934806/5
Factors of 105
List of positive integer factors of 105 that divides 105 without a remainder.
1,3,5,7,15,21,35,105
Factors of 470
List of positive integer factors of 470 that divides 470 without a remainder.
1,2,5,10,47,94,235,470
Greatest Common Factor
We found the factors 105,470 . The biggest common factor number is the GCF number.
So the greatest common factor 105,470 is 5.
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 9519/105, 5022/470?
Answer: LCM of Numerators as per given numbers 9519/105, 5022/470 is
LCM of Numerators i.e. for 9519,5022 is 15934806
GCF of denominators i.e. for 105,470 is 5.
Thus, LCM of Fractions is 15934806/5.Finally, LCM of Fractions for 9519/105, 5022/470 is 15934806/5.