Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9957/522, 5462/3025 quickly i.e. 54385134 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9957/522, 5462/3025 is 54385134.
LCM(9957/522, 5462/3025) = 54385134
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9957/522,5462/3025
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 9957,5462
Least Common Multiple of Numerators i.e. LCM of 9957,5462 is 54385134.
GCF of Denominators means GCF of 522,3025 as per the given fractions.
GCF of 522,3025 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9957,5462
Given numbers has no common factors except 1. So, there LCM is their product i.e 54385134
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 9957,5462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9957,5462) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9957,5462) x common factors =1 x 1 = 1
LCM(9957,5462) = ( 9957 × 5462 ) / 1
LCM(9957,5462) = 54385134 / 1
LCM(9957,5462) = 54385134
Lets's calculate GCF of 522,3025
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54385134/1
Therefore the LCM of Fractions 9957/522,5462/3025 is 54385134
Factors of 522
List of positive integer factors of 522 that divides 522 without a remainder.
1,2,3,6,9,18,29,58,87,174,261,522
Factors of 3025
List of positive integer factors of 3025 that divides 3025 without a remainder.
1,5,11,25,55,121,275,605,3025
Greatest Common Factor
We found the factors 522,3025 . The biggest common factor number is the GCF number.
So the greatest common factor 522,3025 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 9957/522, 5462/3025?
Answer: LCM of Numerators as per given numbers 9957/522, 5462/3025 is
LCM of Numerators i.e. for 9957,5462 is 54385134
GCF of denominators i.e. for 522,3025 is 1.
Thus, LCM of Fractions is 54385134.Finally, LCM of Fractions for 9957/522, 5462/3025 is 54385134.