Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 575/53, 527/6966 quickly i.e. 303025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 575/53, 527/6966 is 303025.
LCM(575/53, 527/6966) = 303025
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 575/53,527/6966
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 575,527
Least Common Multiple of Numerators i.e. LCM of 575,527 is 303025.
GCF of Denominators means GCF of 53,6966 as per the given fractions.
GCF of 53,6966 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 575,527
Given numbers has no common factors except 1. So, there LCM is their product i.e 303025
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 575,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,527) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(575,527) x common factors =1 x 1 = 1
LCM(575,527) = ( 575 × 527 ) / 1
LCM(575,527) = 303025 / 1
LCM(575,527) = 303025
Lets's calculate GCF of 53,6966
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 303025/1
Therefore the LCM of Fractions 575/53,527/6966 is 303025
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 6966
List of positive integer factors of 6966 that divides 6966 without a remainder.
1,2,3,6,9,18,27,43,54,81,86,129,162,258,387,774,1161,2322,3483,6966
Greatest Common Factor
We found the factors 53,6966 . The biggest common factor number is the GCF number.
So the greatest common factor 53,6966 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 575/53, 527/6966?
Answer: LCM of Numerators as per given numbers 575/53, 527/6966 is
LCM of Numerators i.e. for 575,527 is 303025
GCF of denominators i.e. for 53,6966 is 1.
Thus, LCM of Fractions is 303025.Finally, LCM of Fractions for 575/53, 527/6966 is 303025.