Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 884/12, 859/4287 quickly i.e. 759356/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 884/12, 859/4287 is 759356/3.
LCM(884/12, 859/4287) = 759356/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 884/12,859/4287
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 884,859
Least Common Multiple of Numerators i.e. LCM of 884,859 is 759356.
GCF of Denominators means GCF of 12,4287 as per the given fractions.
GCF of 12,4287 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 884,859
Given numbers has no common factors except 1. So, there LCM is their product i.e 759356
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 884,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(884,859) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(884,859) x common factors =1 x 1 = 1
LCM(884,859) = ( 884 × 859 ) / 1
LCM(884,859) = 759356 / 1
LCM(884,859) = 759356
Lets's calculate GCF of 12,4287
3 | 12, 4287 |
4, 1429 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 759356/3
Therefore the LCM of Fractions 884/12,859/4287 is 759356/3
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 4287
List of positive integer factors of 4287 that divides 4287 without a remainder.
1,3,1429,4287
Greatest Common Factor
We found the factors 12,4287 . The biggest common factor number is the GCF number.
So the greatest common factor 12,4287 is 3.
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 884/12, 859/4287?
Answer: LCM of Numerators as per given numbers 884/12, 859/4287 is
LCM of Numerators i.e. for 884,859 is 759356
GCF of denominators i.e. for 12,4287 is 3.
Thus, LCM of Fractions is 759356/3.Finally, LCM of Fractions for 884/12, 859/4287 is 759356/3.