Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 321/52, 346/8535 quickly i.e. 111066 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 321/52, 346/8535 is 111066.
LCM(321/52, 346/8535) = 111066
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 321/52,346/8535
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 321,346
Least Common Multiple of Numerators i.e. LCM of 321,346 is 111066.
GCF of Denominators means GCF of 52,8535 as per the given fractions.
GCF of 52,8535 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 321,346
Given numbers has no common factors except 1. So, there LCM is their product i.e 111066
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 321,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,346) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(321,346) x common factors =1 x 1 = 1
LCM(321,346) = ( 321 × 346 ) / 1
LCM(321,346) = 111066 / 1
LCM(321,346) = 111066
Lets's calculate GCF of 52,8535
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111066/1
Therefore the LCM of Fractions 321/52,346/8535 is 111066
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 8535
List of positive integer factors of 8535 that divides 8535 without a remainder.
1,3,5,15,569,1707,2845,8535
Greatest Common Factor
We found the factors 52,8535 . The biggest common factor number is the GCF number.
So the greatest common factor 52,8535 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 321/52, 346/8535?
Answer: LCM of Numerators as per given numbers 321/52, 346/8535 is
LCM of Numerators i.e. for 321,346 is 111066
GCF of denominators i.e. for 52,8535 is 1.
Thus, LCM of Fractions is 111066.Finally, LCM of Fractions for 321/52, 346/8535 is 111066.