Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7936/399, 4890/3021 quickly i.e. 19403520/57 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7936/399, 4890/3021 is 19403520/57.
LCM(7936/399, 4890/3021) = 19403520/57
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7936/399,4890/3021
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 7936,4890
Least Common Multiple of Numerators i.e. LCM of 7936,4890 is 19403520.
GCF of Denominators means GCF of 399,3021 as per the given fractions.
GCF of 399,3021 is 57 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7936,4890
2 | 7936, 4890 |
3968, 2445 |
∴ So the LCM of the given numbers is 2 x 3968 x 2445 = 19403520
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 7936,4890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7936,4890) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(7936,4890) x common factors =2 x 1 = 2
LCM(7936,4890) = ( 7936 × 4890 ) / 2
LCM(7936,4890) = 38807040 / 2
LCM(7936,4890) = 19403520
Lets's calculate GCF of 399,3021
3 | 399, 3021 |
19 | 133, 1007 |
7, 53 |
∴ So the GCF of the given numbers is 3 x 19 = 57
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19403520/57
Therefore the LCM of Fractions 7936/399,4890/3021 is 19403520/57
Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1,3,7,19,21,57,133,399
Factors of 3021
List of positive integer factors of 3021 that divides 3021 without a remainder.
1,3,19,53,57,159,1007,3021
Greatest Common Factor
We found the factors 399,3021 . The biggest common factor number is the GCF number.
So the greatest common factor 399,3021 is 57.
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 7936/399, 4890/3021?
Answer: LCM of Numerators as per given numbers 7936/399, 4890/3021 is
LCM of Numerators i.e. for 7936,4890 is 19403520
GCF of denominators i.e. for 399,3021 is 57.
Thus, LCM of Fractions is 19403520/57.Finally, LCM of Fractions for 7936/399, 4890/3021 is 19403520/57.