Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9522/534, 9332/430 quickly i.e. 22214826 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9522/534, 9332/430 is 22214826.
LCM(9522/534, 9332/430) = 22214826
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9522/534,9332/430
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 9522,9332
Least Common Multiple of Numerators i.e. LCM of 9522,9332 is 44429652.
GCF of Denominators means GCF of 534,430 as per the given fractions.
GCF of 534,430 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9522,9332
2 | 9522, 9332 |
4761, 4666 |
∴ So the LCM of the given numbers is 2 x 4761 x 4666 = 44429652
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 9522,9332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9522,9332) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9522,9332) x common factors =2 x 1 = 2
LCM(9522,9332) = ( 9522 × 9332 ) / 2
LCM(9522,9332) = 88859304 / 2
LCM(9522,9332) = 44429652
Lets's calculate GCF of 534,430
2 | 534, 430 |
267, 215 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44429652/2
Therefore the LCM of Fractions 9522/534,9332/430 is 22214826
Factors of 534
List of positive integer factors of 534 that divides 534 without a remainder.
1,2,3,6,89,178,267,534
Factors of 430
List of positive integer factors of 430 that divides 430 without a remainder.
1,2,5,10,43,86,215,430
Greatest Common Factor
We found the factors 534,430 . The biggest common factor number is the GCF number.
So the greatest common factor 534,430 is 2.
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 9522/534, 9332/430?
Answer: LCM of Numerators as per given numbers 9522/534, 9332/430 is
LCM of Numerators i.e. for 9522,9332 is 44429652
GCF of denominators i.e. for 534,430 is 2.
Thus, LCM of Fractions is 22214826.Finally, LCM of Fractions for 9522/534, 9332/430 is 22214826.