Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9024/22, 7061/523 quickly i.e. 63718464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9024/22, 7061/523 is 63718464.
LCM(9024/22, 7061/523) = 63718464
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9024/22,7061/523
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 9024,7061
Least Common Multiple of Numerators i.e. LCM of 9024,7061 is 63718464.
GCF of Denominators means GCF of 22,523 as per the given fractions.
GCF of 22,523 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9024,7061
Given numbers has no common factors except 1. So, there LCM is their product i.e 63718464
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 9024,7061 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9024,7061) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9024,7061) x common factors =1 x 1 = 1
LCM(9024,7061) = ( 9024 × 7061 ) / 1
LCM(9024,7061) = 63718464 / 1
LCM(9024,7061) = 63718464
Lets's calculate GCF of 22,523
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63718464/1
Therefore the LCM of Fractions 9024/22,7061/523 is 63718464
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 523
List of positive integer factors of 523 that divides 523 without a remainder.
1,523
Greatest Common Factor
We found the factors 22,523 . The biggest common factor number is the GCF number.
So the greatest common factor 22,523 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 9024/22, 7061/523?
Answer: LCM of Numerators as per given numbers 9024/22, 7061/523 is
LCM of Numerators i.e. for 9024,7061 is 63718464
GCF of denominators i.e. for 22,523 is 1.
Thus, LCM of Fractions is 63718464.Finally, LCM of Fractions for 9024/22, 7061/523 is 63718464.