Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 17/879, 44/274, 370/413 quickly i.e. 138380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 17/879, 44/274, 370/413 is 138380.
LCM(17/879, 44/274, 370/413) = 138380
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 17/879,44/274,370/413
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 17,44,370
Least Common Multiple of Numerators i.e. LCM of 17,44,370 is 138380.
GCF of Denominators means GCF of 879,274,413 as per the given fractions.
GCF of 879,274,413 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 17,44,370
2 | 17, 44, 370 |
17, 22, 185 |
∴ So the LCM of the given numbers is 2 x 17 x 22 x 185 = 138380
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 17,44,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,44,370) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(17,44,370) x common factors =1 x 2 = 2
LCM(17,44,370) = ( 17 × 44 × 370 ) / 2
LCM(17,44,370) = 276760 / 2
LCM(17,44,370) = 138380
Lets's calculate GCF of 879,274,413
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138380/1
Therefore the LCM of Fractions 17/879,44/274,370/413 is 138380
Factors of 879
List of positive integer factors of 879 that divides 879 without a remainder.
1,3,293,879
Factors of 274
List of positive integer factors of 274 that divides 274 without a remainder.
1,2,137,274
Factors of 413
List of positive integer factors of 413 that divides 413 without a remainder.
1,7,59,413
Greatest Common Factor
We found the factors 879,274,413 . The biggest common factor number is the GCF number.
So the greatest common factor 879,274,413 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 17/879, 44/274, 370/413?
Answer: LCM of Numerators as per given numbers 17/879, 44/274, 370/413 is
LCM of Numerators i.e. for 17,44,370 is 138380
GCF of denominators i.e. for 879,274,413 is 1.
Thus, LCM of Fractions is 138380.Finally, LCM of Fractions for 17/879, 44/274, 370/413 is 138380.