Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 108/110, 9964/849 quickly i.e. 269028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 108/110, 9964/849 is 269028.
LCM(108/110, 9964/849) = 269028
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 108/110,9964/849
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 108,9964
Least Common Multiple of Numerators i.e. LCM of 108,9964 is 269028.
GCF of Denominators means GCF of 110,849 as per the given fractions.
GCF of 110,849 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 108,9964
2 | 108, 9964 |
2 | 54, 4982 |
27, 2491 |
∴ So the LCM of the given numbers is 2 x 2 x 27 x 2491 = 269028
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 108,9964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(108,9964) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(108,9964) x common factors =4 x 1 = 4
LCM(108,9964) = ( 108 × 9964 ) / 4
LCM(108,9964) = 1076112 / 4
LCM(108,9964) = 269028
Lets's calculate GCF of 110,849
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 269028/1
Therefore the LCM of Fractions 108/110,9964/849 is 269028
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
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 110,849 . The biggest common factor number is the GCF number.
So the greatest common factor 110,849 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 108/110, 9964/849?
Answer: LCM of Numerators as per given numbers 108/110, 9964/849 is
LCM of Numerators i.e. for 108,9964 is 269028
GCF of denominators i.e. for 110,849 is 1.
Thus, LCM of Fractions is 269028.Finally, LCM of Fractions for 108/110, 9964/849 is 269028.