Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 17/723, 15/101, 755/884 quickly i.e. 38505 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 17/723, 15/101, 755/884 is 38505.
LCM(17/723, 15/101, 755/884) = 38505
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 17/723,15/101,755/884
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 17,15,755
Least Common Multiple of Numerators i.e. LCM of 17,15,755 is 38505.
GCF of Denominators means GCF of 723,101,884 as per the given fractions.
GCF of 723,101,884 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 17,15,755
5 | 17, 15, 755 |
17, 3, 151 |
∴ So the LCM of the given numbers is 5 x 17 x 3 x 151 = 38505
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 17,15,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,15,755) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(17,15,755) x common factors =1 x 5 = 5
LCM(17,15,755) = ( 17 × 15 × 755 ) / 5
LCM(17,15,755) = 192525 / 5
LCM(17,15,755) = 38505
Lets's calculate GCF of 723,101,884
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38505/1
Therefore the LCM of Fractions 17/723,15/101,755/884 is 38505
Factors of 723
List of positive integer factors of 723 that divides 723 without a remainder.
1,3,241,723
Factors of 101
List of positive integer factors of 101 that divides 101 without a remainder.
1,101
Factors of 884
List of positive integer factors of 884 that divides 884 without a remainder.
1,2,4,13,17,26,34,52,68,221,442,884
Greatest Common Factor
We found the factors 723,101,884 . The biggest common factor number is the GCF number.
So the greatest common factor 723,101,884 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 17/723, 15/101, 755/884?
Answer: LCM of Numerators as per given numbers 17/723, 15/101, 755/884 is
LCM of Numerators i.e. for 17,15,755 is 38505
GCF of denominators i.e. for 723,101,884 is 1.
Thus, LCM of Fractions is 38505.Finally, LCM of Fractions for 17/723, 15/101, 755/884 is 38505.