Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 34/617, 52/831, 721/558 quickly i.e. 637364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 34/617, 52/831, 721/558 is 637364.
LCM(34/617, 52/831, 721/558) = 637364
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 34/617,52/831,721/558
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 34,52,721
Least Common Multiple of Numerators i.e. LCM of 34,52,721 is 637364.
GCF of Denominators means GCF of 617,831,558 as per the given fractions.
GCF of 617,831,558 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 34,52,721
2 | 34, 52, 721 |
17, 26, 721 |
∴ So the LCM of the given numbers is 2 x 17 x 26 x 721 = 637364
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 34,52,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,52,721) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(34,52,721) x common factors =1 x 2 = 2
LCM(34,52,721) = ( 34 × 52 × 721 ) / 2
LCM(34,52,721) = 1274728 / 2
LCM(34,52,721) = 637364
Lets's calculate GCF of 617,831,558
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 637364/1
Therefore the LCM of Fractions 34/617,52/831,721/558 is 637364
Factors of 617
List of positive integer factors of 617 that divides 617 without a remainder.
1,617
Factors of 831
List of positive integer factors of 831 that divides 831 without a remainder.
1,3,277,831
Factors of 558
List of positive integer factors of 558 that divides 558 without a remainder.
1,2,3,6,9,18,31,62,93,186,279,558
Greatest Common Factor
We found the factors 617,831,558 . The biggest common factor number is the GCF number.
So the greatest common factor 617,831,558 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 34/617, 52/831, 721/558?
Answer: LCM of Numerators as per given numbers 34/617, 52/831, 721/558 is
LCM of Numerators i.e. for 34,52,721 is 637364
GCF of denominators i.e. for 617,831,558 is 1.
Thus, LCM of Fractions is 637364.Finally, LCM of Fractions for 34/617, 52/831, 721/558 is 637364.