Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6457/714, 9173/6793 quickly i.e. 59230061 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6457/714, 9173/6793 is 59230061.
LCM(6457/714, 9173/6793) = 59230061
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6457/714,9173/6793
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 6457,9173
Least Common Multiple of Numerators i.e. LCM of 6457,9173 is 59230061.
GCF of Denominators means GCF of 714,6793 as per the given fractions.
GCF of 714,6793 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6457,9173
Given numbers has no common factors except 1. So, there LCM is their product i.e 59230061
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 6457,9173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6457,9173) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6457,9173) x common factors =1 x 1 = 1
LCM(6457,9173) = ( 6457 × 9173 ) / 1
LCM(6457,9173) = 59230061 / 1
LCM(6457,9173) = 59230061
Lets's calculate GCF of 714,6793
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59230061/1
Therefore the LCM of Fractions 6457/714,9173/6793 is 59230061
Factors of 714
List of positive integer factors of 714 that divides 714 without a remainder.
1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714
Factors of 6793
List of positive integer factors of 6793 that divides 6793 without a remainder.
1,6793
Greatest Common Factor
We found the factors 714,6793 . The biggest common factor number is the GCF number.
So the greatest common factor 714,6793 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 6457/714, 9173/6793?
Answer: LCM of Numerators as per given numbers 6457/714, 9173/6793 is
LCM of Numerators i.e. for 6457,9173 is 59230061
GCF of denominators i.e. for 714,6793 is 1.
Thus, LCM of Fractions is 59230061.Finally, LCM of Fractions for 6457/714, 9173/6793 is 59230061.