Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 934/95, 1757/589 quickly i.e. 1641038/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 934/95, 1757/589 is 1641038/19.
LCM(934/95, 1757/589) = 1641038/19
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 934/95,1757/589
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 934,1757
Least Common Multiple of Numerators i.e. LCM of 934,1757 is 1641038.
GCF of Denominators means GCF of 95,589 as per the given fractions.
GCF of 95,589 is 19 as it is the largest common factor for these numbers.
Lets's calculate LCM of 934,1757
Given numbers has no common factors except 1. So, there LCM is their product i.e 1641038
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 934,1757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(934,1757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(934,1757) x common factors =1 x 1 = 1
LCM(934,1757) = ( 934 × 1757 ) / 1
LCM(934,1757) = 1641038 / 1
LCM(934,1757) = 1641038
Lets's calculate GCF of 95,589
19 | 95, 589 |
5, 31 |
∴ So the GCF of the given numbers is 19 = 19
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1641038/19
Therefore the LCM of Fractions 934/95,1757/589 is 1641038/19
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 589
List of positive integer factors of 589 that divides 589 without a remainder.
1,19,31,589
Greatest Common Factor
We found the factors 95,589 . The biggest common factor number is the GCF number.
So the greatest common factor 95,589 is 19.
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 934/95, 1757/589?
Answer: LCM of Numerators as per given numbers 934/95, 1757/589 is
LCM of Numerators i.e. for 934,1757 is 1641038
GCF of denominators i.e. for 95,589 is 19.
Thus, LCM of Fractions is 1641038/19.Finally, LCM of Fractions for 934/95, 1757/589 is 1641038/19.