Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/438, 9030/8350 quickly i.e. 139965 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/438, 9030/8350 is 139965.
LCM(93/438, 9030/8350) = 139965
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/438,9030/8350
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 93,9030
Least Common Multiple of Numerators i.e. LCM of 93,9030 is 279930.
GCF of Denominators means GCF of 438,8350 as per the given fractions.
GCF of 438,8350 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,9030
3 | 93, 9030 |
31, 3010 |
∴ So the LCM of the given numbers is 3 x 31 x 3010 = 279930
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 93,9030 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,9030) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(93,9030) x common factors =3 x 1 = 3
LCM(93,9030) = ( 93 × 9030 ) / 3
LCM(93,9030) = 839790 / 3
LCM(93,9030) = 279930
Lets's calculate GCF of 438,8350
2 | 438, 8350 |
219, 4175 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 279930/2
Therefore the LCM of Fractions 93/438,9030/8350 is 139965
Factors of 438
List of positive integer factors of 438 that divides 438 without a remainder.
1,2,3,6,73,146,219,438
Factors of 8350
List of positive integer factors of 8350 that divides 8350 without a remainder.
1,2,5,10,25,50,167,334,835,1670,4175,8350
Greatest Common Factor
We found the factors 438,8350 . The biggest common factor number is the GCF number.
So the greatest common factor 438,8350 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 93/438, 9030/8350?
Answer: LCM of Numerators as per given numbers 93/438, 9030/8350 is
LCM of Numerators i.e. for 93,9030 is 279930
GCF of denominators i.e. for 438,8350 is 2.
Thus, LCM of Fractions is 139965.Finally, LCM of Fractions for 93/438, 9030/8350 is 139965.