Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7017/293, 4174/1494 quickly i.e. 29288958 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7017/293, 4174/1494 is 29288958.
LCM(7017/293, 4174/1494) = 29288958
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7017/293,4174/1494
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 7017,4174
Least Common Multiple of Numerators i.e. LCM of 7017,4174 is 29288958.
GCF of Denominators means GCF of 293,1494 as per the given fractions.
GCF of 293,1494 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7017,4174
Given numbers has no common factors except 1. So, there LCM is their product i.e 29288958
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 7017,4174 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7017,4174) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7017,4174) x common factors =1 x 1 = 1
LCM(7017,4174) = ( 7017 × 4174 ) / 1
LCM(7017,4174) = 29288958 / 1
LCM(7017,4174) = 29288958
Lets's calculate GCF of 293,1494
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29288958/1
Therefore the LCM of Fractions 7017/293,4174/1494 is 29288958
Factors of 293
List of positive integer factors of 293 that divides 293 without a remainder.
1,293
Factors of 1494
List of positive integer factors of 1494 that divides 1494 without a remainder.
1,2,3,6,9,18,83,166,249,498,747,1494
Greatest Common Factor
We found the factors 293,1494 . The biggest common factor number is the GCF number.
So the greatest common factor 293,1494 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 7017/293, 4174/1494?
Answer: LCM of Numerators as per given numbers 7017/293, 4174/1494 is
LCM of Numerators i.e. for 7017,4174 is 29288958
GCF of denominators i.e. for 293,1494 is 1.
Thus, LCM of Fractions is 29288958.Finally, LCM of Fractions for 7017/293, 4174/1494 is 29288958.