Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 371/430, 9923/9060 quickly i.e. 3681433/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 371/430, 9923/9060 is 3681433/10.
LCM(371/430, 9923/9060) = 3681433/10
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 371/430,9923/9060
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 371,9923
Least Common Multiple of Numerators i.e. LCM of 371,9923 is 3681433.
GCF of Denominators means GCF of 430,9060 as per the given fractions.
GCF of 430,9060 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 371,9923
Given numbers has no common factors except 1. So, there LCM is their product i.e 3681433
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 371,9923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(371,9923) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(371,9923) x common factors =1 x 1 = 1
LCM(371,9923) = ( 371 × 9923 ) / 1
LCM(371,9923) = 3681433 / 1
LCM(371,9923) = 3681433
Lets's calculate GCF of 430,9060
2 | 430, 9060 |
5 | 215, 4530 |
43, 906 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3681433/10
Therefore the LCM of Fractions 371/430,9923/9060 is 3681433/10
Factors of 430
List of positive integer factors of 430 that divides 430 without a remainder.
1,2,5,10,43,86,215,430
Factors of 9060
List of positive integer factors of 9060 that divides 9060 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,151,302,453,604,755,906,1510,1812,2265,3020,4530,9060
Greatest Common Factor
We found the factors 430,9060 . The biggest common factor number is the GCF number.
So the greatest common factor 430,9060 is 10.
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 371/430, 9923/9060?
Answer: LCM of Numerators as per given numbers 371/430, 9923/9060 is
LCM of Numerators i.e. for 371,9923 is 3681433
GCF of denominators i.e. for 430,9060 is 10.
Thus, LCM of Fractions is 3681433/10.Finally, LCM of Fractions for 371/430, 9923/9060 is 3681433/10.