Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1887/394, 1701/3665 quickly i.e. 1069929 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1887/394, 1701/3665 is 1069929.
LCM(1887/394, 1701/3665) = 1069929
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1887/394,1701/3665
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 1887,1701
Least Common Multiple of Numerators i.e. LCM of 1887,1701 is 1069929.
GCF of Denominators means GCF of 394,3665 as per the given fractions.
GCF of 394,3665 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1887,1701
3 | 1887, 1701 |
629, 567 |
∴ So the LCM of the given numbers is 3 x 629 x 567 = 1069929
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 1887,1701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1887,1701) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(1887,1701) x common factors =3 x 1 = 3
LCM(1887,1701) = ( 1887 × 1701 ) / 3
LCM(1887,1701) = 3209787 / 3
LCM(1887,1701) = 1069929
Lets's calculate GCF of 394,3665
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1069929/1
Therefore the LCM of Fractions 1887/394,1701/3665 is 1069929
Factors of 394
List of positive integer factors of 394 that divides 394 without a remainder.
1,2,197,394
Factors of 3665
List of positive integer factors of 3665 that divides 3665 without a remainder.
1,5,733,3665
Greatest Common Factor
We found the factors 394,3665 . The biggest common factor number is the GCF number.
So the greatest common factor 394,3665 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 1887/394, 1701/3665?
Answer: LCM of Numerators as per given numbers 1887/394, 1701/3665 is
LCM of Numerators i.e. for 1887,1701 is 1069929
GCF of denominators i.e. for 394,3665 is 1.
Thus, LCM of Fractions is 1069929.Finally, LCM of Fractions for 1887/394, 1701/3665 is 1069929.