Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/993, 11/686, 891/537 quickly i.e. 891 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/993, 11/686, 891/537 is 891.
LCM(99/993, 11/686, 891/537) = 891
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/993,11/686,891/537
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 99,11,891
Least Common Multiple of Numerators i.e. LCM of 99,11,891 is 891.
GCF of Denominators means GCF of 993,686,537 as per the given fractions.
GCF of 993,686,537 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,11,891
3 | 99, 11, 891 |
3 | 33, 11, 297 |
11 | 11, 11, 99 |
1, 1, 9 |
∴ So the LCM of the given numbers is 3 x 3 x 11 x 1 x 1 x 9 = 891
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 99,11,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,11,891) = 11
common factors(in case of two or more numbers have common factors) = 99
GCF(99,11,891) x common factors =11 x 99 = 1089
LCM(99,11,891) = ( 99 × 11 × 891 ) / 1089
LCM(99,11,891) = 970299 / 1089
LCM(99,11,891) = 891
Lets's calculate GCF of 993,686,537
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 891/1
Therefore the LCM of Fractions 99/993,11/686,891/537 is 891
Factors of 993
List of positive integer factors of 993 that divides 993 without a remainder.
1,3,331,993
Factors of 686
List of positive integer factors of 686 that divides 686 without a remainder.
1,2,7,14,49,98,343,686
Factors of 537
List of positive integer factors of 537 that divides 537 without a remainder.
1,3,179,537
Greatest Common Factor
We found the factors 993,686,537 . The biggest common factor number is the GCF number.
So the greatest common factor 993,686,537 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 99/993, 11/686, 891/537?
Answer: LCM of Numerators as per given numbers 99/993, 11/686, 891/537 is
LCM of Numerators i.e. for 99,11,891 is 891
GCF of denominators i.e. for 993,686,537 is 1.
Thus, LCM of Fractions is 891.Finally, LCM of Fractions for 99/993, 11/686, 891/537 is 891.