Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2832/610, 5409/4388 quickly i.e. 2553048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2832/610, 5409/4388 is 2553048.
LCM(2832/610, 5409/4388) = 2553048
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2832/610,5409/4388
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 2832,5409
Least Common Multiple of Numerators i.e. LCM of 2832,5409 is 5106096.
GCF of Denominators means GCF of 610,4388 as per the given fractions.
GCF of 610,4388 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2832,5409
3 | 2832, 5409 |
944, 1803 |
∴ So the LCM of the given numbers is 3 x 944 x 1803 = 5106096
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 2832,5409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2832,5409) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(2832,5409) x common factors =3 x 1 = 3
LCM(2832,5409) = ( 2832 × 5409 ) / 3
LCM(2832,5409) = 15318288 / 3
LCM(2832,5409) = 5106096
Lets's calculate GCF of 610,4388
2 | 610, 4388 |
305, 2194 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5106096/2
Therefore the LCM of Fractions 2832/610,5409/4388 is 2553048
Factors of 610
List of positive integer factors of 610 that divides 610 without a remainder.
1,2,5,10,61,122,305,610
Factors of 4388
List of positive integer factors of 4388 that divides 4388 without a remainder.
1,2,4,1097,2194,4388
Greatest Common Factor
We found the factors 610,4388 . The biggest common factor number is the GCF number.
So the greatest common factor 610,4388 is 2.
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 2832/610, 5409/4388?
Answer: LCM of Numerators as per given numbers 2832/610, 5409/4388 is
LCM of Numerators i.e. for 2832,5409 is 5106096
GCF of denominators i.e. for 610,4388 is 2.
Thus, LCM of Fractions is 2553048.Finally, LCM of Fractions for 2832/610, 5409/4388 is 2553048.