Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 26/13, 605/93, 516/364 quickly i.e. 4058340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 26/13, 605/93, 516/364 is 4058340.
LCM(26/13, 605/93, 516/364) = 4058340
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 26/13,605/93,516/364
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 26,605,516
Least Common Multiple of Numerators i.e. LCM of 26,605,516 is 4058340.
GCF of Denominators means GCF of 13,93,364 as per the given fractions.
GCF of 13,93,364 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 26,605,516
2 | 26, 605, 516 |
13, 605, 258 |
∴ So the LCM of the given numbers is 2 x 13 x 605 x 258 = 4058340
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 26,605,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,605,516) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(26,605,516) x common factors =1 x 2 = 2
LCM(26,605,516) = ( 26 × 605 × 516 ) / 2
LCM(26,605,516) = 8116680 / 2
LCM(26,605,516) = 4058340
Lets's calculate GCF of 13,93,364
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4058340/1
Therefore the LCM of Fractions 26/13,605/93,516/364 is 4058340
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 364
List of positive integer factors of 364 that divides 364 without a remainder.
1,2,4,7,13,14,26,28,52,91,182,364
Greatest Common Factor
We found the factors 13,93,364 . The biggest common factor number is the GCF number.
So the greatest common factor 13,93,364 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 26/13, 605/93, 516/364?
Answer: LCM of Numerators as per given numbers 26/13, 605/93, 516/364 is
LCM of Numerators i.e. for 26,605,516 is 4058340
GCF of denominators i.e. for 13,93,364 is 1.
Thus, LCM of Fractions is 4058340.Finally, LCM of Fractions for 26/13, 605/93, 516/364 is 4058340.