Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 930/308, 8197/198 quickly i.e. 7623210/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 930/308, 8197/198 is 7623210/22.
LCM(930/308, 8197/198) = 7623210/22
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 930/308,8197/198
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 930,8197
Least Common Multiple of Numerators i.e. LCM of 930,8197 is 7623210.
GCF of Denominators means GCF of 308,198 as per the given fractions.
GCF of 308,198 is 22 as it is the largest common factor for these numbers.
Lets's calculate LCM of 930,8197
Given numbers has no common factors except 1. So, there LCM is their product i.e 7623210
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 930,8197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(930,8197) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(930,8197) x common factors =1 x 1 = 1
LCM(930,8197) = ( 930 × 8197 ) / 1
LCM(930,8197) = 7623210 / 1
LCM(930,8197) = 7623210
Lets's calculate GCF of 308,198
2 | 308, 198 |
11 | 154, 99 |
14, 9 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7623210/22
Therefore the LCM of Fractions 930/308,8197/198 is 7623210/22
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 198
List of positive integer factors of 198 that divides 198 without a remainder.
1,2,3,6,9,11,18,22,33,66,99,198
Greatest Common Factor
We found the factors 308,198 . The biggest common factor number is the GCF number.
So the greatest common factor 308,198 is 22.
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 930/308, 8197/198?
Answer: LCM of Numerators as per given numbers 930/308, 8197/198 is
LCM of Numerators i.e. for 930,8197 is 7623210
GCF of denominators i.e. for 308,198 is 22.
Thus, LCM of Fractions is 7623210/22.Finally, LCM of Fractions for 930/308, 8197/198 is 7623210/22.