Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7709/525, 6529/577 quickly i.e. 50332061 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7709/525, 6529/577 is 50332061.
LCM(7709/525, 6529/577) = 50332061
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7709/525,6529/577
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 7709,6529
Least Common Multiple of Numerators i.e. LCM of 7709,6529 is 50332061.
GCF of Denominators means GCF of 525,577 as per the given fractions.
GCF of 525,577 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7709,6529
Given numbers has no common factors except 1. So, there LCM is their product i.e 50332061
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 7709,6529 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7709,6529) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7709,6529) x common factors =1 x 1 = 1
LCM(7709,6529) = ( 7709 × 6529 ) / 1
LCM(7709,6529) = 50332061 / 1
LCM(7709,6529) = 50332061
Lets's calculate GCF of 525,577
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50332061/1
Therefore the LCM of Fractions 7709/525,6529/577 is 50332061
Factors of 525
List of positive integer factors of 525 that divides 525 without a remainder.
1,3,5,7,15,21,25,35,75,105,175,525
Factors of 577
List of positive integer factors of 577 that divides 577 without a remainder.
1,577
Greatest Common Factor
We found the factors 525,577 . The biggest common factor number is the GCF number.
So the greatest common factor 525,577 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 7709/525, 6529/577?
Answer: LCM of Numerators as per given numbers 7709/525, 6529/577 is
LCM of Numerators i.e. for 7709,6529 is 50332061
GCF of denominators i.e. for 525,577 is 1.
Thus, LCM of Fractions is 50332061.Finally, LCM of Fractions for 7709/525, 6529/577 is 50332061.