Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 25/304, 3166/9508 quickly i.e. 79150/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 25/304, 3166/9508 is 79150/4.
LCM(25/304, 3166/9508) = 79150/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 25/304,3166/9508
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 25,3166
Least Common Multiple of Numerators i.e. LCM of 25,3166 is 79150.
GCF of Denominators means GCF of 304,9508 as per the given fractions.
GCF of 304,9508 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 25,3166
Given numbers has no common factors except 1. So, there LCM is their product i.e 79150
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 25,3166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,3166) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,3166) x common factors =1 x 1 = 1
LCM(25,3166) = ( 25 × 3166 ) / 1
LCM(25,3166) = 79150 / 1
LCM(25,3166) = 79150
Lets's calculate GCF of 304,9508
2 | 304, 9508 |
2 | 152, 4754 |
76, 2377 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79150/4
Therefore the LCM of Fractions 25/304,3166/9508 is 79150/4
Factors of 304
List of positive integer factors of 304 that divides 304 without a remainder.
1,2,4,8,16,19,38,76,152,304
Factors of 9508
List of positive integer factors of 9508 that divides 9508 without a remainder.
1,2,4,2377,4754,9508
Greatest Common Factor
We found the factors 304,9508 . The biggest common factor number is the GCF number.
So the greatest common factor 304,9508 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 25/304, 3166/9508?
Answer: LCM of Numerators as per given numbers 25/304, 3166/9508 is
LCM of Numerators i.e. for 25,3166 is 79150
GCF of denominators i.e. for 304,9508 is 4.
Thus, LCM of Fractions is 79150/4.Finally, LCM of Fractions for 25/304, 3166/9508 is 79150/4.