Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 92/13, 413/26, 590/404 quickly i.e. 189980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 92/13, 413/26, 590/404 is 189980.
LCM(92/13, 413/26, 590/404) = 189980
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 92/13,413/26,590/404
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 92,413,590
Least Common Multiple of Numerators i.e. LCM of 92,413,590 is 189980.
GCF of Denominators means GCF of 13,26,404 as per the given fractions.
GCF of 13,26,404 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 92,413,590
2 | 92, 413, 590 |
59 | 46, 413, 295 |
46, 7, 5 |
∴ So the LCM of the given numbers is 2 x 59 x 46 x 7 x 5 = 189980
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 92,413,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,413,590) = 1
common factors(in case of two or more numbers have common factors) = 118
GCF(92,413,590) x common factors =1 x 118 = 118
LCM(92,413,590) = ( 92 × 413 × 590 ) / 118
LCM(92,413,590) = 22417640 / 118
LCM(92,413,590) = 189980
Lets's calculate GCF of 13,26,404
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 189980/1
Therefore the LCM of Fractions 92/13,413/26,590/404 is 189980
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 404
List of positive integer factors of 404 that divides 404 without a remainder.
1,2,4,101,202,404
Greatest Common Factor
We found the factors 13,26,404 . The biggest common factor number is the GCF number.
So the greatest common factor 13,26,404 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 92/13, 413/26, 590/404?
Answer: LCM of Numerators as per given numbers 92/13, 413/26, 590/404 is
LCM of Numerators i.e. for 92,413,590 is 189980
GCF of denominators i.e. for 13,26,404 is 1.
Thus, LCM of Fractions is 189980.Finally, LCM of Fractions for 92/13, 413/26, 590/404 is 189980.