Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7145/503, 5315/825 quickly i.e. 7595135 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7145/503, 5315/825 is 7595135.
LCM(7145/503, 5315/825) = 7595135
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7145/503,5315/825
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 7145,5315
Least Common Multiple of Numerators i.e. LCM of 7145,5315 is 7595135.
GCF of Denominators means GCF of 503,825 as per the given fractions.
GCF of 503,825 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7145,5315
5 | 7145, 5315 |
1429, 1063 |
∴ So the LCM of the given numbers is 5 x 1429 x 1063 = 7595135
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 7145,5315 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7145,5315) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(7145,5315) x common factors =5 x 1 = 5
LCM(7145,5315) = ( 7145 × 5315 ) / 5
LCM(7145,5315) = 37975675 / 5
LCM(7145,5315) = 7595135
Lets's calculate GCF of 503,825
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7595135/1
Therefore the LCM of Fractions 7145/503,5315/825 is 7595135
Factors of 503
List of positive integer factors of 503 that divides 503 without a remainder.
1,503
Factors of 825
List of positive integer factors of 825 that divides 825 without a remainder.
1,3,5,11,15,25,33,55,75,165,275,825
Greatest Common Factor
We found the factors 503,825 . The biggest common factor number is the GCF number.
So the greatest common factor 503,825 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 7145/503, 5315/825?
Answer: LCM of Numerators as per given numbers 7145/503, 5315/825 is
LCM of Numerators i.e. for 7145,5315 is 7595135
GCF of denominators i.e. for 503,825 is 1.
Thus, LCM of Fractions is 7595135.Finally, LCM of Fractions for 7145/503, 5315/825 is 7595135.