Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9481/308, 8311/564 quickly i.e. 78796591/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9481/308, 8311/564 is 78796591/4.
LCM(9481/308, 8311/564) = 78796591/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9481/308,8311/564
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 9481,8311
Least Common Multiple of Numerators i.e. LCM of 9481,8311 is 78796591.
GCF of Denominators means GCF of 308,564 as per the given fractions.
GCF of 308,564 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9481,8311
Given numbers has no common factors except 1. So, there LCM is their product i.e 78796591
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 9481,8311 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9481,8311) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9481,8311) x common factors =1 x 1 = 1
LCM(9481,8311) = ( 9481 × 8311 ) / 1
LCM(9481,8311) = 78796591 / 1
LCM(9481,8311) = 78796591
Lets's calculate GCF of 308,564
2 | 308, 564 |
2 | 154, 282 |
77, 141 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78796591/4
Therefore the LCM of Fractions 9481/308,8311/564 is 78796591/4
Factors of 308
List of positive integer factors of 308 that divides 308 without a remainder.
1,2,4,7,11,14,22,28,44,77,154,308
Factors of 564
List of positive integer factors of 564 that divides 564 without a remainder.
1,2,3,4,6,12,47,94,141,188,282,564
Greatest Common Factor
We found the factors 308,564 . The biggest common factor number is the GCF number.
So the greatest common factor 308,564 is 4.
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 9481/308, 8311/564?
Answer: LCM of Numerators as per given numbers 9481/308, 8311/564 is
LCM of Numerators i.e. for 9481,8311 is 78796591
GCF of denominators i.e. for 308,564 is 4.
Thus, LCM of Fractions is 78796591/4.Finally, LCM of Fractions for 9481/308, 8311/564 is 78796591/4.