Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8937/348, 1681/849 quickly i.e. 5007699 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8937/348, 1681/849 is 5007699.
LCM(8937/348, 1681/849) = 5007699
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8937/348,1681/849
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 8937,1681
Least Common Multiple of Numerators i.e. LCM of 8937,1681 is 15023097.
GCF of Denominators means GCF of 348,849 as per the given fractions.
GCF of 348,849 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8937,1681
Given numbers has no common factors except 1. So, there LCM is their product i.e 15023097
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 8937,1681 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8937,1681) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8937,1681) x common factors =1 x 1 = 1
LCM(8937,1681) = ( 8937 × 1681 ) / 1
LCM(8937,1681) = 15023097 / 1
LCM(8937,1681) = 15023097
Lets's calculate GCF of 348,849
3 | 348, 849 |
116, 283 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15023097/3
Therefore the LCM of Fractions 8937/348,1681/849 is 5007699
Factors of 348
List of positive integer factors of 348 that divides 348 without a remainder.
1,2,3,4,6,12,29,58,87,116,174,348
Factors of 849
List of positive integer factors of 849 that divides 849 without a remainder.
1,3,283,849
Greatest Common Factor
We found the factors 348,849 . The biggest common factor number is the GCF number.
So the greatest common factor 348,849 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 8937/348, 1681/849?
Answer: LCM of Numerators as per given numbers 8937/348, 1681/849 is
LCM of Numerators i.e. for 8937,1681 is 15023097
GCF of denominators i.e. for 348,849 is 3.
Thus, LCM of Fractions is 5007699.Finally, LCM of Fractions for 8937/348, 1681/849 is 5007699.