Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/50, 51/15, 329/693 quickly i.e. 687939 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/50, 51/15, 329/693 is 687939.
LCM(41/50, 51/15, 329/693) = 687939
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/50,51/15,329/693
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 41,51,329
Least Common Multiple of Numerators i.e. LCM of 41,51,329 is 687939.
GCF of Denominators means GCF of 50,15,693 as per the given fractions.
GCF of 50,15,693 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,51,329
Given numbers has no common factors except 1. So, there LCM is their product i.e 687939
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 41,51,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,51,329) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,51,329) x common factors =1 x 1 = 1
LCM(41,51,329) = ( 41 × 51 × 329 ) / 1
LCM(41,51,329) = 687939 / 1
LCM(41,51,329) = 687939
Lets's calculate GCF of 50,15,693
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 687939/1
Therefore the LCM of Fractions 41/50,51/15,329/693 is 687939
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 693
List of positive integer factors of 693 that divides 693 without a remainder.
1,3,7,9,11,21,33,63,77,99,231,693
Greatest Common Factor
We found the factors 50,15,693 . The biggest common factor number is the GCF number.
So the greatest common factor 50,15,693 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 41/50, 51/15, 329/693?
Answer: LCM of Numerators as per given numbers 41/50, 51/15, 329/693 is
LCM of Numerators i.e. for 41,51,329 is 687939
GCF of denominators i.e. for 50,15,693 is 1.
Thus, LCM of Fractions is 687939.Finally, LCM of Fractions for 41/50, 51/15, 329/693 is 687939.