Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/82, 91/84, 56/72, 44/897 quickly i.e. 8008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/82, 91/84, 56/72, 44/897 is 8008.
LCM(11/82, 91/84, 56/72, 44/897) = 8008
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/82,91/84,56/72,44/897
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 11,91,56,44
Least Common Multiple of Numerators i.e. LCM of 11,91,56,44 is 8008.
GCF of Denominators means GCF of 82,84,72,897 as per the given fractions.
GCF of 82,84,72,897 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,91,56,44
2 | 11, 91, 56, 44 |
2 | 11, 91, 28, 22 |
7 | 11, 91, 14, 11 |
11 | 11, 13, 2, 11 |
1, 13, 2, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 11 x 1 x 13 x 2 x 1 = 8008
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 11,91,56,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,91,56,44) = 1
common factors(in case of two or more numbers have common factors) = 308
GCF(11,91,56,44) x common factors =1 x 308 = 308
LCM(11,91,56,44) = ( 11 × 91 × 56 × 44 ) / 308
LCM(11,91,56,44) = 2466464 / 308
LCM(11,91,56,44) = 8008
Lets's calculate GCF of 82,84,72,897
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8008/1
Therefore the LCM of Fractions 11/82,91/84,56/72,44/897 is 8008
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 897
List of positive integer factors of 897 that divides 897 without a remainder.
1,3,13,23,39,69,299,897
Greatest Common Factor
We found the factors 82,84,72,897 . The biggest common factor number is the GCF number.
So the greatest common factor 82,84,72,897 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 11/82, 91/84, 56/72, 44/897?
Answer: LCM of Numerators as per given numbers 11/82, 91/84, 56/72, 44/897 is
LCM of Numerators i.e. for 11,91,56,44 is 8008
GCF of denominators i.e. for 82,84,72,897 is 1.
Thus, LCM of Fractions is 8008.Finally, LCM of Fractions for 11/82, 91/84, 56/72, 44/897 is 8008.