Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3607/833, 3578/580 quickly i.e. 12905846 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3607/833, 3578/580 is 12905846.
LCM(3607/833, 3578/580) = 12905846
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3607/833,3578/580
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 3607,3578
Least Common Multiple of Numerators i.e. LCM of 3607,3578 is 12905846.
GCF of Denominators means GCF of 833,580 as per the given fractions.
GCF of 833,580 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3607,3578
Given numbers has no common factors except 1. So, there LCM is their product i.e 12905846
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 3607,3578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3607,3578) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3607,3578) x common factors =1 x 1 = 1
LCM(3607,3578) = ( 3607 × 3578 ) / 1
LCM(3607,3578) = 12905846 / 1
LCM(3607,3578) = 12905846
Lets's calculate GCF of 833,580
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12905846/1
Therefore the LCM of Fractions 3607/833,3578/580 is 12905846
Factors of 833
List of positive integer factors of 833 that divides 833 without a remainder.
1,7,17,49,119,833
Factors of 580
List of positive integer factors of 580 that divides 580 without a remainder.
1,2,4,5,10,20,29,58,116,145,290,580
Greatest Common Factor
We found the factors 833,580 . The biggest common factor number is the GCF number.
So the greatest common factor 833,580 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 3607/833, 3578/580?
Answer: LCM of Numerators as per given numbers 3607/833, 3578/580 is
LCM of Numerators i.e. for 3607,3578 is 12905846
GCF of denominators i.e. for 833,580 is 1.
Thus, LCM of Fractions is 12905846.Finally, LCM of Fractions for 3607/833, 3578/580 is 12905846.