Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2085/832, 4365/1099 quickly i.e. 606735 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2085/832, 4365/1099 is 606735.
LCM(2085/832, 4365/1099) = 606735
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2085/832,4365/1099
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 2085,4365
Least Common Multiple of Numerators i.e. LCM of 2085,4365 is 606735.
GCF of Denominators means GCF of 832,1099 as per the given fractions.
GCF of 832,1099 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2085,4365
3 | 2085, 4365 |
5 | 695, 1455 |
139, 291 |
∴ So the LCM of the given numbers is 3 x 5 x 139 x 291 = 606735
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 2085,4365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2085,4365) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(2085,4365) x common factors =15 x 1 = 15
LCM(2085,4365) = ( 2085 × 4365 ) / 15
LCM(2085,4365) = 9101025 / 15
LCM(2085,4365) = 606735
Lets's calculate GCF of 832,1099
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 606735/1
Therefore the LCM of Fractions 2085/832,4365/1099 is 606735
Factors of 832
List of positive integer factors of 832 that divides 832 without a remainder.
1,2,4,8,13,16,26,32,52,64,104,208,416,832
Factors of 1099
List of positive integer factors of 1099 that divides 1099 without a remainder.
1,7,157,1099
Greatest Common Factor
We found the factors 832,1099 . The biggest common factor number is the GCF number.
So the greatest common factor 832,1099 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 2085/832, 4365/1099?
Answer: LCM of Numerators as per given numbers 2085/832, 4365/1099 is
LCM of Numerators i.e. for 2085,4365 is 606735
GCF of denominators i.e. for 832,1099 is 1.
Thus, LCM of Fractions is 606735.Finally, LCM of Fractions for 2085/832, 4365/1099 is 606735.