Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/731, 6247/9144 quickly i.e. 568477 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/731, 6247/9144 is 568477.
LCM(91/731, 6247/9144) = 568477
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/731,6247/9144
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 91,6247
Least Common Multiple of Numerators i.e. LCM of 91,6247 is 568477.
GCF of Denominators means GCF of 731,9144 as per the given fractions.
GCF of 731,9144 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,6247
Given numbers has no common factors except 1. So, there LCM is their product i.e 568477
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 91,6247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,6247) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,6247) x common factors =1 x 1 = 1
LCM(91,6247) = ( 91 × 6247 ) / 1
LCM(91,6247) = 568477 / 1
LCM(91,6247) = 568477
Lets's calculate GCF of 731,9144
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 568477/1
Therefore the LCM of Fractions 91/731,6247/9144 is 568477
Factors of 731
List of positive integer factors of 731 that divides 731 without a remainder.
1,17,43,731
Factors of 9144
List of positive integer factors of 9144 that divides 9144 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72,127,254,381,508,762,1016,1143,1524,2286,3048,4572,9144
Greatest Common Factor
We found the factors 731,9144 . The biggest common factor number is the GCF number.
So the greatest common factor 731,9144 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 91/731, 6247/9144?
Answer: LCM of Numerators as per given numbers 91/731, 6247/9144 is
LCM of Numerators i.e. for 91,6247 is 568477
GCF of denominators i.e. for 731,9144 is 1.
Thus, LCM of Fractions is 568477.Finally, LCM of Fractions for 91/731, 6247/9144 is 568477.