Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4282/815, 2302/712 quickly i.e. 4928582 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4282/815, 2302/712 is 4928582.
LCM(4282/815, 2302/712) = 4928582
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4282/815,2302/712
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 4282,2302
Least Common Multiple of Numerators i.e. LCM of 4282,2302 is 4928582.
GCF of Denominators means GCF of 815,712 as per the given fractions.
GCF of 815,712 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4282,2302
2 | 4282, 2302 |
2141, 1151 |
∴ So the LCM of the given numbers is 2 x 2141 x 1151 = 4928582
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 4282,2302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4282,2302) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(4282,2302) x common factors =2 x 1 = 2
LCM(4282,2302) = ( 4282 × 2302 ) / 2
LCM(4282,2302) = 9857164 / 2
LCM(4282,2302) = 4928582
Lets's calculate GCF of 815,712
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4928582/1
Therefore the LCM of Fractions 4282/815,2302/712 is 4928582
Factors of 815
List of positive integer factors of 815 that divides 815 without a remainder.
1,5,163,815
Factors of 712
List of positive integer factors of 712 that divides 712 without a remainder.
1,2,4,8,89,178,356,712
Greatest Common Factor
We found the factors 815,712 . The biggest common factor number is the GCF number.
So the greatest common factor 815,712 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 4282/815, 2302/712?
Answer: LCM of Numerators as per given numbers 4282/815, 2302/712 is
LCM of Numerators i.e. for 4282,2302 is 4928582
GCF of denominators i.e. for 815,712 is 1.
Thus, LCM of Fractions is 4928582.Finally, LCM of Fractions for 4282/815, 2302/712 is 4928582.