Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9562/321, 8314/258 quickly i.e. 39749234/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9562/321, 8314/258 is 39749234/3.
LCM(9562/321, 8314/258) = 39749234/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9562/321,8314/258
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 9562,8314
Least Common Multiple of Numerators i.e. LCM of 9562,8314 is 39749234.
GCF of Denominators means GCF of 321,258 as per the given fractions.
GCF of 321,258 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9562,8314
2 | 9562, 8314 |
4781, 4157 |
∴ So the LCM of the given numbers is 2 x 4781 x 4157 = 39749234
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 9562,8314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9562,8314) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9562,8314) x common factors =2 x 1 = 2
LCM(9562,8314) = ( 9562 × 8314 ) / 2
LCM(9562,8314) = 79498468 / 2
LCM(9562,8314) = 39749234
Lets's calculate GCF of 321,258
3 | 321, 258 |
107, 86 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39749234/3
Therefore the LCM of Fractions 9562/321,8314/258 is 39749234/3
Factors of 321
List of positive integer factors of 321 that divides 321 without a remainder.
1,3,107,321
Factors of 258
List of positive integer factors of 258 that divides 258 without a remainder.
1,2,3,6,43,86,129,258
Greatest Common Factor
We found the factors 321,258 . The biggest common factor number is the GCF number.
So the greatest common factor 321,258 is 3.
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 9562/321, 8314/258?
Answer: LCM of Numerators as per given numbers 9562/321, 8314/258 is
LCM of Numerators i.e. for 9562,8314 is 39749234
GCF of denominators i.e. for 321,258 is 3.
Thus, LCM of Fractions is 39749234/3.Finally, LCM of Fractions for 9562/321, 8314/258 is 39749234/3.