Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3605/442, 6057/2329 quickly i.e. 21835485/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3605/442, 6057/2329 is 21835485/17.
LCM(3605/442, 6057/2329) = 21835485/17
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3605/442,6057/2329
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 3605,6057
Least Common Multiple of Numerators i.e. LCM of 3605,6057 is 21835485.
GCF of Denominators means GCF of 442,2329 as per the given fractions.
GCF of 442,2329 is 17 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3605,6057
Given numbers has no common factors except 1. So, there LCM is their product i.e 21835485
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 3605,6057 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3605,6057) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3605,6057) x common factors =1 x 1 = 1
LCM(3605,6057) = ( 3605 × 6057 ) / 1
LCM(3605,6057) = 21835485 / 1
LCM(3605,6057) = 21835485
Lets's calculate GCF of 442,2329
17 | 442, 2329 |
26, 137 |
∴ So the GCF of the given numbers is 17 = 17
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21835485/17
Therefore the LCM of Fractions 3605/442,6057/2329 is 21835485/17
Factors of 442
List of positive integer factors of 442 that divides 442 without a remainder.
1,2,13,17,26,34,221,442
Factors of 2329
List of positive integer factors of 2329 that divides 2329 without a remainder.
1,17,137,2329
Greatest Common Factor
We found the factors 442,2329 . The biggest common factor number is the GCF number.
So the greatest common factor 442,2329 is 17.
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 3605/442, 6057/2329?
Answer: LCM of Numerators as per given numbers 3605/442, 6057/2329 is
LCM of Numerators i.e. for 3605,6057 is 21835485
GCF of denominators i.e. for 442,2329 is 17.
Thus, LCM of Fractions is 21835485/17.Finally, LCM of Fractions for 3605/442, 6057/2329 is 21835485/17.