Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 528/503, 5221/325 quickly i.e. 2756688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 528/503, 5221/325 is 2756688.
LCM(528/503, 5221/325) = 2756688
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 528/503,5221/325
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 528,5221
Least Common Multiple of Numerators i.e. LCM of 528,5221 is 2756688.
GCF of Denominators means GCF of 503,325 as per the given fractions.
GCF of 503,325 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 528,5221
Given numbers has no common factors except 1. So, there LCM is their product i.e 2756688
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 528,5221 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(528,5221) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(528,5221) x common factors =1 x 1 = 1
LCM(528,5221) = ( 528 × 5221 ) / 1
LCM(528,5221) = 2756688 / 1
LCM(528,5221) = 2756688
Lets's calculate GCF of 503,325
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2756688/1
Therefore the LCM of Fractions 528/503,5221/325 is 2756688
Factors of 503
List of positive integer factors of 503 that divides 503 without a remainder.
1,503
Factors of 325
List of positive integer factors of 325 that divides 325 without a remainder.
1,5,13,25,65,325
Greatest Common Factor
We found the factors 503,325 . The biggest common factor number is the GCF number.
So the greatest common factor 503,325 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 528/503, 5221/325?
Answer: LCM of Numerators as per given numbers 528/503, 5221/325 is
LCM of Numerators i.e. for 528,5221 is 2756688
GCF of denominators i.e. for 503,325 is 1.
Thus, LCM of Fractions is 2756688.Finally, LCM of Fractions for 528/503, 5221/325 is 2756688.