Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6043/586, 9700/293 quickly i.e. 58617100/293 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6043/586, 9700/293 is 58617100/293.
LCM(6043/586, 9700/293) = 58617100/293
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6043/586,9700/293
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 6043,9700
Least Common Multiple of Numerators i.e. LCM of 6043,9700 is 58617100.
GCF of Denominators means GCF of 586,293 as per the given fractions.
GCF of 586,293 is 293 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6043,9700
Given numbers has no common factors except 1. So, there LCM is their product i.e 58617100
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 6043,9700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6043,9700) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6043,9700) x common factors =1 x 1 = 1
LCM(6043,9700) = ( 6043 × 9700 ) / 1
LCM(6043,9700) = 58617100 / 1
LCM(6043,9700) = 58617100
Lets's calculate GCF of 586,293
293 | 586, 293 |
2, 1 |
∴ So the GCF of the given numbers is 293 = 293
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58617100/293
Therefore the LCM of Fractions 6043/586,9700/293 is 58617100/293
Factors of 586
List of positive integer factors of 586 that divides 586 without a remainder.
1,2,293,586
Factors of 293
List of positive integer factors of 293 that divides 293 without a remainder.
1,293
Greatest Common Factor
We found the factors 586,293 . The biggest common factor number is the GCF number.
So the greatest common factor 586,293 is 293.
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 6043/586, 9700/293?
Answer: LCM of Numerators as per given numbers 6043/586, 9700/293 is
LCM of Numerators i.e. for 6043,9700 is 58617100
GCF of denominators i.e. for 586,293 is 293.
Thus, LCM of Fractions is 58617100/293.Finally, LCM of Fractions for 6043/586, 9700/293 is 58617100/293.