Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 661/384, 3016/3870 quickly i.e. 1993576/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 661/384, 3016/3870 is 1993576/6.
LCM(661/384, 3016/3870) = 1993576/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 661/384,3016/3870
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 661,3016
Least Common Multiple of Numerators i.e. LCM of 661,3016 is 1993576.
GCF of Denominators means GCF of 384,3870 as per the given fractions.
GCF of 384,3870 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 661,3016
Given numbers has no common factors except 1. So, there LCM is their product i.e 1993576
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 661,3016 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(661,3016) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(661,3016) x common factors =1 x 1 = 1
LCM(661,3016) = ( 661 × 3016 ) / 1
LCM(661,3016) = 1993576 / 1
LCM(661,3016) = 1993576
Lets's calculate GCF of 384,3870
2 | 384, 3870 |
3 | 192, 1935 |
64, 645 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1993576/6
Therefore the LCM of Fractions 661/384,3016/3870 is 1993576/6
Factors of 384
List of positive integer factors of 384 that divides 384 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384
Factors of 3870
List of positive integer factors of 3870 that divides 3870 without a remainder.
1,2,3,5,6,9,10,15,18,30,43,45,86,90,129,215,258,387,430,645,774,1290,1935,3870
Greatest Common Factor
We found the factors 384,3870 . The biggest common factor number is the GCF number.
So the greatest common factor 384,3870 is 6.
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 661/384, 3016/3870?
Answer: LCM of Numerators as per given numbers 661/384, 3016/3870 is
LCM of Numerators i.e. for 661,3016 is 1993576
GCF of denominators i.e. for 384,3870 is 6.
Thus, LCM of Fractions is 1993576/6.Finally, LCM of Fractions for 661/384, 3016/3870 is 1993576/6.