Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 593/941, 296/682, 785/349 quickly i.e. 137789480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 593/941, 296/682, 785/349 is 137789480.
LCM(593/941, 296/682, 785/349) = 137789480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 593/941,296/682,785/349
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 593,296,785
Least Common Multiple of Numerators i.e. LCM of 593,296,785 is 137789480.
GCF of Denominators means GCF of 941,682,349 as per the given fractions.
GCF of 941,682,349 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 593,296,785
Given numbers has no common factors except 1. So, there LCM is their product i.e 137789480
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 593,296,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(593,296,785) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(593,296,785) x common factors =1 x 1 = 1
LCM(593,296,785) = ( 593 × 296 × 785 ) / 1
LCM(593,296,785) = 137789480 / 1
LCM(593,296,785) = 137789480
Lets's calculate GCF of 941,682,349
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137789480/1
Therefore the LCM of Fractions 593/941,296/682,785/349 is 137789480
Factors of 941
List of positive integer factors of 941 that divides 941 without a remainder.
1,941
Factors of 682
List of positive integer factors of 682 that divides 682 without a remainder.
1,2,11,22,31,62,341,682
Factors of 349
List of positive integer factors of 349 that divides 349 without a remainder.
1,349
Greatest Common Factor
We found the factors 941,682,349 . The biggest common factor number is the GCF number.
So the greatest common factor 941,682,349 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 593/941, 296/682, 785/349?
Answer: LCM of Numerators as per given numbers 593/941, 296/682, 785/349 is
LCM of Numerators i.e. for 593,296,785 is 137789480
GCF of denominators i.e. for 941,682,349 is 1.
Thus, LCM of Fractions is 137789480.Finally, LCM of Fractions for 593/941, 296/682, 785/349 is 137789480.