Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 346/59, 587/6535 quickly i.e. 203102 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 346/59, 587/6535 is 203102.
LCM(346/59, 587/6535) = 203102
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 346/59,587/6535
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 346,587
Least Common Multiple of Numerators i.e. LCM of 346,587 is 203102.
GCF of Denominators means GCF of 59,6535 as per the given fractions.
GCF of 59,6535 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 346,587
Given numbers has no common factors except 1. So, there LCM is their product i.e 203102
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 346,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(346,587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(346,587) x common factors =1 x 1 = 1
LCM(346,587) = ( 346 × 587 ) / 1
LCM(346,587) = 203102 / 1
LCM(346,587) = 203102
Lets's calculate GCF of 59,6535
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 203102/1
Therefore the LCM of Fractions 346/59,587/6535 is 203102
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 6535
List of positive integer factors of 6535 that divides 6535 without a remainder.
1,5,1307,6535
Greatest Common Factor
We found the factors 59,6535 . The biggest common factor number is the GCF number.
So the greatest common factor 59,6535 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 346/59, 587/6535?
Answer: LCM of Numerators as per given numbers 346/59, 587/6535 is
LCM of Numerators i.e. for 346,587 is 203102
GCF of denominators i.e. for 59,6535 is 1.
Thus, LCM of Fractions is 203102.Finally, LCM of Fractions for 346/59, 587/6535 is 203102.