Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8615/781, 2200/3152 quickly i.e. 3790600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8615/781, 2200/3152 is 3790600.
LCM(8615/781, 2200/3152) = 3790600
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8615/781,2200/3152
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 8615,2200
Least Common Multiple of Numerators i.e. LCM of 8615,2200 is 3790600.
GCF of Denominators means GCF of 781,3152 as per the given fractions.
GCF of 781,3152 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8615,2200
5 | 8615, 2200 |
1723, 440 |
∴ So the LCM of the given numbers is 5 x 1723 x 440 = 3790600
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 8615,2200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8615,2200) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(8615,2200) x common factors =5 x 1 = 5
LCM(8615,2200) = ( 8615 × 2200 ) / 5
LCM(8615,2200) = 18953000 / 5
LCM(8615,2200) = 3790600
Lets's calculate GCF of 781,3152
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3790600/1
Therefore the LCM of Fractions 8615/781,2200/3152 is 3790600
Factors of 781
List of positive integer factors of 781 that divides 781 without a remainder.
1,11,71,781
Factors of 3152
List of positive integer factors of 3152 that divides 3152 without a remainder.
1,2,4,8,16,197,394,788,1576,3152
Greatest Common Factor
We found the factors 781,3152 . The biggest common factor number is the GCF number.
So the greatest common factor 781,3152 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 8615/781, 2200/3152?
Answer: LCM of Numerators as per given numbers 8615/781, 2200/3152 is
LCM of Numerators i.e. for 8615,2200 is 3790600
GCF of denominators i.e. for 781,3152 is 1.
Thus, LCM of Fractions is 3790600.Finally, LCM of Fractions for 8615/781, 2200/3152 is 3790600.