Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 243/581, 4402/791 quickly i.e. 1069686/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 243/581, 4402/791 is 1069686/7.
LCM(243/581, 4402/791) = 1069686/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 243/581,4402/791
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 243,4402
Least Common Multiple of Numerators i.e. LCM of 243,4402 is 1069686.
GCF of Denominators means GCF of 581,791 as per the given fractions.
GCF of 581,791 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 243,4402
Given numbers has no common factors except 1. So, there LCM is their product i.e 1069686
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 243,4402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(243,4402) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(243,4402) x common factors =1 x 1 = 1
LCM(243,4402) = ( 243 × 4402 ) / 1
LCM(243,4402) = 1069686 / 1
LCM(243,4402) = 1069686
Lets's calculate GCF of 581,791
7 | 581, 791 |
83, 113 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1069686/7
Therefore the LCM of Fractions 243/581,4402/791 is 1069686/7
Factors of 581
List of positive integer factors of 581 that divides 581 without a remainder.
1,7,83,581
Factors of 791
List of positive integer factors of 791 that divides 791 without a remainder.
1,7,113,791
Greatest Common Factor
We found the factors 581,791 . The biggest common factor number is the GCF number.
So the greatest common factor 581,791 is 7.
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 243/581, 4402/791?
Answer: LCM of Numerators as per given numbers 243/581, 4402/791 is
LCM of Numerators i.e. for 243,4402 is 1069686
GCF of denominators i.e. for 581,791 is 7.
Thus, LCM of Fractions is 1069686/7.Finally, LCM of Fractions for 243/581, 4402/791 is 1069686/7.