Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 965/510, 9627/3298 quickly i.e. 9290055/34 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 965/510, 9627/3298 is 9290055/34.
LCM(965/510, 9627/3298) = 9290055/34
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 965/510,9627/3298
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 965,9627
Least Common Multiple of Numerators i.e. LCM of 965,9627 is 9290055.
GCF of Denominators means GCF of 510,3298 as per the given fractions.
GCF of 510,3298 is 34 as it is the largest common factor for these numbers.
Lets's calculate LCM of 965,9627
Given numbers has no common factors except 1. So, there LCM is their product i.e 9290055
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 965,9627 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(965,9627) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(965,9627) x common factors =1 x 1 = 1
LCM(965,9627) = ( 965 × 9627 ) / 1
LCM(965,9627) = 9290055 / 1
LCM(965,9627) = 9290055
Lets's calculate GCF of 510,3298
2 | 510, 3298 |
17 | 255, 1649 |
15, 97 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9290055/34
Therefore the LCM of Fractions 965/510,9627/3298 is 9290055/34
Factors of 510
List of positive integer factors of 510 that divides 510 without a remainder.
1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Factors of 3298
List of positive integer factors of 3298 that divides 3298 without a remainder.
1,2,17,34,97,194,1649,3298
Greatest Common Factor
We found the factors 510,3298 . The biggest common factor number is the GCF number.
So the greatest common factor 510,3298 is 34.
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 965/510, 9627/3298?
Answer: LCM of Numerators as per given numbers 965/510, 9627/3298 is
LCM of Numerators i.e. for 965,9627 is 9290055
GCF of denominators i.e. for 510,3298 is 34.
Thus, LCM of Fractions is 9290055/34.Finally, LCM of Fractions for 965/510, 9627/3298 is 9290055/34.