Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 525/89, 569/5963 quickly i.e. 298725/89 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 525/89, 569/5963 is 298725/89.
LCM(525/89, 569/5963) = 298725/89
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 525/89,569/5963
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 525,569
Least Common Multiple of Numerators i.e. LCM of 525,569 is 298725.
GCF of Denominators means GCF of 89,5963 as per the given fractions.
GCF of 89,5963 is 89 as it is the largest common factor for these numbers.
Lets's calculate LCM of 525,569
Given numbers has no common factors except 1. So, there LCM is their product i.e 298725
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 525,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(525,569) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(525,569) x common factors =1 x 1 = 1
LCM(525,569) = ( 525 × 569 ) / 1
LCM(525,569) = 298725 / 1
LCM(525,569) = 298725
Lets's calculate GCF of 89,5963
89 | 89, 5963 |
1, 67 |
∴ So the GCF of the given numbers is 89 = 89
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 298725/89
Therefore the LCM of Fractions 525/89,569/5963 is 298725/89
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 5963
List of positive integer factors of 5963 that divides 5963 without a remainder.
1,67,89,5963
Greatest Common Factor
We found the factors 89,5963 . The biggest common factor number is the GCF number.
So the greatest common factor 89,5963 is 89.
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 525/89, 569/5963?
Answer: LCM of Numerators as per given numbers 525/89, 569/5963 is
LCM of Numerators i.e. for 525,569 is 298725
GCF of denominators i.e. for 89,5963 is 89.
Thus, LCM of Fractions is 298725/89.Finally, LCM of Fractions for 525/89, 569/5963 is 298725/89.