Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 730/714, 9323/2185 quickly i.e. 6805790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 730/714, 9323/2185 is 6805790.
LCM(730/714, 9323/2185) = 6805790
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 730/714,9323/2185
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 730,9323
Least Common Multiple of Numerators i.e. LCM of 730,9323 is 6805790.
GCF of Denominators means GCF of 714,2185 as per the given fractions.
GCF of 714,2185 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 730,9323
Given numbers has no common factors except 1. So, there LCM is their product i.e 6805790
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 730,9323 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(730,9323) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(730,9323) x common factors =1 x 1 = 1
LCM(730,9323) = ( 730 × 9323 ) / 1
LCM(730,9323) = 6805790 / 1
LCM(730,9323) = 6805790
Lets's calculate GCF of 714,2185
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6805790/1
Therefore the LCM of Fractions 730/714,9323/2185 is 6805790
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 2185
List of positive integer factors of 2185 that divides 2185 without a remainder.
1,5,19,23,95,115,437,2185
Greatest Common Factor
We found the factors 714,2185 . The biggest common factor number is the GCF number.
So the greatest common factor 714,2185 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 730/714, 9323/2185?
Answer: LCM of Numerators as per given numbers 730/714, 9323/2185 is
LCM of Numerators i.e. for 730,9323 is 6805790
GCF of denominators i.e. for 714,2185 is 1.
Thus, LCM of Fractions is 6805790.Finally, LCM of Fractions for 730/714, 9323/2185 is 6805790.