Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/993, 9957/4840 quickly i.e. 308667 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/993, 9957/4840 is 308667.
LCM(93/993, 9957/4840) = 308667
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/993,9957/4840
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 93,9957
Least Common Multiple of Numerators i.e. LCM of 93,9957 is 308667.
GCF of Denominators means GCF of 993,4840 as per the given fractions.
GCF of 993,4840 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,9957
3 | 93, 9957 |
31, 3319 |
∴ So the LCM of the given numbers is 3 x 31 x 3319 = 308667
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 93,9957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,9957) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(93,9957) x common factors =3 x 1 = 3
LCM(93,9957) = ( 93 × 9957 ) / 3
LCM(93,9957) = 926001 / 3
LCM(93,9957) = 308667
Lets's calculate GCF of 993,4840
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 308667/1
Therefore the LCM of Fractions 93/993,9957/4840 is 308667
Factors of 993
List of positive integer factors of 993 that divides 993 without a remainder.
1,3,331,993
Factors of 4840
List of positive integer factors of 4840 that divides 4840 without a remainder.
1,2,4,5,8,10,11,20,22,40,44,55,88,110,121,220,242,440,484,605,968,1210,2420,4840
Greatest Common Factor
We found the factors 993,4840 . The biggest common factor number is the GCF number.
So the greatest common factor 993,4840 is 1.
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 93/993, 9957/4840?
Answer: LCM of Numerators as per given numbers 93/993, 9957/4840 is
LCM of Numerators i.e. for 93,9957 is 308667
GCF of denominators i.e. for 993,4840 is 1.
Thus, LCM of Fractions is 308667.Finally, LCM of Fractions for 93/993, 9957/4840 is 308667.