Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3859/284, 3354/767 quickly i.e. 12943086 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3859/284, 3354/767 is 12943086.
LCM(3859/284, 3354/767) = 12943086
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3859/284,3354/767
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 3859,3354
Least Common Multiple of Numerators i.e. LCM of 3859,3354 is 12943086.
GCF of Denominators means GCF of 284,767 as per the given fractions.
GCF of 284,767 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3859,3354
Given numbers has no common factors except 1. So, there LCM is their product i.e 12943086
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 3859,3354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3859,3354) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3859,3354) x common factors =1 x 1 = 1
LCM(3859,3354) = ( 3859 × 3354 ) / 1
LCM(3859,3354) = 12943086 / 1
LCM(3859,3354) = 12943086
Lets's calculate GCF of 284,767
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12943086/1
Therefore the LCM of Fractions 3859/284,3354/767 is 12943086
Factors of 284
List of positive integer factors of 284 that divides 284 without a remainder.
1,2,4,71,142,284
Factors of 767
List of positive integer factors of 767 that divides 767 without a remainder.
1,13,59,767
Greatest Common Factor
We found the factors 284,767 . The biggest common factor number is the GCF number.
So the greatest common factor 284,767 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 3859/284, 3354/767?
Answer: LCM of Numerators as per given numbers 3859/284, 3354/767 is
LCM of Numerators i.e. for 3859,3354 is 12943086
GCF of denominators i.e. for 284,767 is 1.
Thus, LCM of Fractions is 12943086.Finally, LCM of Fractions for 3859/284, 3354/767 is 12943086.