Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/771, 26/363, 884/935 quickly i.e. 6188 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/771, 26/363, 884/935 is 6188.
LCM(91/771, 26/363, 884/935) = 6188
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/771,26/363,884/935
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 91,26,884
Least Common Multiple of Numerators i.e. LCM of 91,26,884 is 6188.
GCF of Denominators means GCF of 771,363,935 as per the given fractions.
GCF of 771,363,935 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,26,884
2 | 91, 26, 884 |
13 | 91, 13, 442 |
7, 1, 34 |
∴ So the LCM of the given numbers is 2 x 13 x 7 x 1 x 34 = 6188
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 91,26,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,26,884) = 13
common factors(in case of two or more numbers have common factors) = 26
GCF(91,26,884) x common factors =13 x 26 = 338
LCM(91,26,884) = ( 91 × 26 × 884 ) / 338
LCM(91,26,884) = 2091544 / 338
LCM(91,26,884) = 6188
Lets's calculate GCF of 771,363,935
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6188/1
Therefore the LCM of Fractions 91/771,26/363,884/935 is 6188
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1,3,257,771
Factors of 363
List of positive integer factors of 363 that divides 363 without a remainder.
1,3,11,33,121,363
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Greatest Common Factor
We found the factors 771,363,935 . The biggest common factor number is the GCF number.
So the greatest common factor 771,363,935 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 91/771, 26/363, 884/935?
Answer: LCM of Numerators as per given numbers 91/771, 26/363, 884/935 is
LCM of Numerators i.e. for 91,26,884 is 6188
GCF of denominators i.e. for 771,363,935 is 1.
Thus, LCM of Fractions is 6188.Finally, LCM of Fractions for 91/771, 26/363, 884/935 is 6188.