Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9203/99, 7578/892 quickly i.e. 69740334 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9203/99, 7578/892 is 69740334.
LCM(9203/99, 7578/892) = 69740334
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9203/99,7578/892
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 9203,7578
Least Common Multiple of Numerators i.e. LCM of 9203,7578 is 69740334.
GCF of Denominators means GCF of 99,892 as per the given fractions.
GCF of 99,892 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9203,7578
Given numbers has no common factors except 1. So, there LCM is their product i.e 69740334
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 9203,7578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9203,7578) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9203,7578) x common factors =1 x 1 = 1
LCM(9203,7578) = ( 9203 × 7578 ) / 1
LCM(9203,7578) = 69740334 / 1
LCM(9203,7578) = 69740334
Lets's calculate GCF of 99,892
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69740334/1
Therefore the LCM of Fractions 9203/99,7578/892 is 69740334
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 892
List of positive integer factors of 892 that divides 892 without a remainder.
1,2,4,223,446,892
Greatest Common Factor
We found the factors 99,892 . The biggest common factor number is the GCF number.
So the greatest common factor 99,892 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 9203/99, 7578/892?
Answer: LCM of Numerators as per given numbers 9203/99, 7578/892 is
LCM of Numerators i.e. for 9203,7578 is 69740334
GCF of denominators i.e. for 99,892 is 1.
Thus, LCM of Fractions is 69740334.Finally, LCM of Fractions for 9203/99, 7578/892 is 69740334.