Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5225/380, 9875/2513 quickly i.e. 2063875 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5225/380, 9875/2513 is 2063875.
LCM(5225/380, 9875/2513) = 2063875
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5225/380,9875/2513
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 5225,9875
Least Common Multiple of Numerators i.e. LCM of 5225,9875 is 2063875.
GCF of Denominators means GCF of 380,2513 as per the given fractions.
GCF of 380,2513 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5225,9875
5 | 5225, 9875 |
5 | 1045, 1975 |
209, 395 |
∴ So the LCM of the given numbers is 5 x 5 x 209 x 395 = 2063875
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 5225,9875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5225,9875) = 25
common factors(in case of two or more numbers have common factors) = 1
GCF(5225,9875) x common factors =25 x 1 = 25
LCM(5225,9875) = ( 5225 × 9875 ) / 25
LCM(5225,9875) = 51596875 / 25
LCM(5225,9875) = 2063875
Lets's calculate GCF of 380,2513
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2063875/1
Therefore the LCM of Fractions 5225/380,9875/2513 is 2063875
Factors of 380
List of positive integer factors of 380 that divides 380 without a remainder.
1,2,4,5,10,19,20,38,76,95,190,380
Factors of 2513
List of positive integer factors of 2513 that divides 2513 without a remainder.
1,7,359,2513
Greatest Common Factor
We found the factors 380,2513 . The biggest common factor number is the GCF number.
So the greatest common factor 380,2513 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 5225/380, 9875/2513?
Answer: LCM of Numerators as per given numbers 5225/380, 9875/2513 is
LCM of Numerators i.e. for 5225,9875 is 2063875
GCF of denominators i.e. for 380,2513 is 1.
Thus, LCM of Fractions is 2063875.Finally, LCM of Fractions for 5225/380, 9875/2513 is 2063875.