Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/592, 76/566 quickly i.e. 3458 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/592, 76/566 is 3458.
LCM(91/592, 76/566) = 3458
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/592,76/566
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 91,76
Least Common Multiple of Numerators i.e. LCM of 91,76 is 6916.
GCF of Denominators means GCF of 592,566 as per the given fractions.
GCF of 592,566 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,76
Given numbers has no common factors except 1. So, there LCM is their product i.e 6916
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 91,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,76) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,76) x common factors =1 x 1 = 1
LCM(91,76) = ( 91 × 76 ) / 1
LCM(91,76) = 6916 / 1
LCM(91,76) = 6916
Lets's calculate GCF of 592,566
2 | 592, 566 |
296, 283 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6916/2
Therefore the LCM of Fractions 91/592,76/566 is 3458
Factors of 592
List of positive integer factors of 592 that divides 592 without a remainder.
1,2,4,8,16,37,74,148,296,592
Factors of 566
List of positive integer factors of 566 that divides 566 without a remainder.
1,2,283,566
Greatest Common Factor
We found the factors 592,566 . The biggest common factor number is the GCF number.
So the greatest common factor 592,566 is 2.
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 91/592, 76/566?
Answer: LCM of Numerators as per given numbers 91/592, 76/566 is
LCM of Numerators i.e. for 91,76 is 6916
GCF of denominators i.e. for 592,566 is 2.
Thus, LCM of Fractions is 3458.Finally, LCM of Fractions for 91/592, 76/566 is 3458.