Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1749/595, 9818/323 quickly i.e. 17171682/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1749/595, 9818/323 is 17171682/17.
LCM(1749/595, 9818/323) = 17171682/17
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1749/595,9818/323
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 1749,9818
Least Common Multiple of Numerators i.e. LCM of 1749,9818 is 17171682.
GCF of Denominators means GCF of 595,323 as per the given fractions.
GCF of 595,323 is 17 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1749,9818
Given numbers has no common factors except 1. So, there LCM is their product i.e 17171682
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 1749,9818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1749,9818) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1749,9818) x common factors =1 x 1 = 1
LCM(1749,9818) = ( 1749 × 9818 ) / 1
LCM(1749,9818) = 17171682 / 1
LCM(1749,9818) = 17171682
Lets's calculate GCF of 595,323
17 | 595, 323 |
35, 19 |
∴ So the GCF of the given numbers is 17 = 17
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17171682/17
Therefore the LCM of Fractions 1749/595,9818/323 is 17171682/17
Factors of 595
List of positive integer factors of 595 that divides 595 without a remainder.
1,5,7,17,35,85,119,595
Factors of 323
List of positive integer factors of 323 that divides 323 without a remainder.
1,17,19,323
Greatest Common Factor
We found the factors 595,323 . The biggest common factor number is the GCF number.
So the greatest common factor 595,323 is 17.
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 1749/595, 9818/323?
Answer: LCM of Numerators as per given numbers 1749/595, 9818/323 is
LCM of Numerators i.e. for 1749,9818 is 17171682
GCF of denominators i.e. for 595,323 is 17.
Thus, LCM of Fractions is 17171682/17.Finally, LCM of Fractions for 1749/595, 9818/323 is 17171682/17.