Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 133/424, 307/146 quickly i.e. 40831/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 133/424, 307/146 is 40831/2.
LCM(133/424, 307/146) = 40831/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 133/424,307/146
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 133,307
Least Common Multiple of Numerators i.e. LCM of 133,307 is 40831.
GCF of Denominators means GCF of 424,146 as per the given fractions.
GCF of 424,146 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 133,307
Given numbers has no common factors except 1. So, there LCM is their product i.e 40831
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 133,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(133,307) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(133,307) x common factors =1 x 1 = 1
LCM(133,307) = ( 133 × 307 ) / 1
LCM(133,307) = 40831 / 1
LCM(133,307) = 40831
Lets's calculate GCF of 424,146
2 | 424, 146 |
212, 73 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40831/2
Therefore the LCM of Fractions 133/424,307/146 is 40831/2
Factors of 424
List of positive integer factors of 424 that divides 424 without a remainder.
1,2,4,8,53,106,212,424
Factors of 146
List of positive integer factors of 146 that divides 146 without a remainder.
1,2,73,146
Greatest Common Factor
We found the factors 424,146 . The biggest common factor number is the GCF number.
So the greatest common factor 424,146 is 2.
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 133/424, 307/146?
Answer: LCM of Numerators as per given numbers 133/424, 307/146 is
LCM of Numerators i.e. for 133,307 is 40831
GCF of denominators i.e. for 424,146 is 2.
Thus, LCM of Fractions is 40831/2.Finally, LCM of Fractions for 133/424, 307/146 is 40831/2.