Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9154/819, 3555/699 quickly i.e. 10847490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9154/819, 3555/699 is 10847490.
LCM(9154/819, 3555/699) = 10847490
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9154/819,3555/699
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 9154,3555
Least Common Multiple of Numerators i.e. LCM of 9154,3555 is 32542470.
GCF of Denominators means GCF of 819,699 as per the given fractions.
GCF of 819,699 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9154,3555
Given numbers has no common factors except 1. So, there LCM is their product i.e 32542470
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 9154,3555 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9154,3555) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9154,3555) x common factors =1 x 1 = 1
LCM(9154,3555) = ( 9154 × 3555 ) / 1
LCM(9154,3555) = 32542470 / 1
LCM(9154,3555) = 32542470
Lets's calculate GCF of 819,699
3 | 819, 699 |
273, 233 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32542470/3
Therefore the LCM of Fractions 9154/819,3555/699 is 10847490
Factors of 819
List of positive integer factors of 819 that divides 819 without a remainder.
1,3,7,9,13,21,39,63,91,117,273,819
Factors of 699
List of positive integer factors of 699 that divides 699 without a remainder.
1,3,233,699
Greatest Common Factor
We found the factors 819,699 . The biggest common factor number is the GCF number.
So the greatest common factor 819,699 is 3.
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 9154/819, 3555/699?
Answer: LCM of Numerators as per given numbers 9154/819, 3555/699 is
LCM of Numerators i.e. for 9154,3555 is 32542470
GCF of denominators i.e. for 819,699 is 3.
Thus, LCM of Fractions is 10847490.Finally, LCM of Fractions for 9154/819, 3555/699 is 10847490.