Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8401/11, 8162/869 quickly i.e. 6233542 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8401/11, 8162/869 is 6233542.
LCM(8401/11, 8162/869) = 6233542
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8401/11,8162/869
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 8401,8162
Least Common Multiple of Numerators i.e. LCM of 8401,8162 is 68568962.
GCF of Denominators means GCF of 11,869 as per the given fractions.
GCF of 11,869 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8401,8162
Given numbers has no common factors except 1. So, there LCM is their product i.e 68568962
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 8401,8162 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8401,8162) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8401,8162) x common factors =1 x 1 = 1
LCM(8401,8162) = ( 8401 × 8162 ) / 1
LCM(8401,8162) = 68568962 / 1
LCM(8401,8162) = 68568962
Lets's calculate GCF of 11,869
11 | 11, 869 |
1, 79 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68568962/11
Therefore the LCM of Fractions 8401/11,8162/869 is 6233542
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 869
List of positive integer factors of 869 that divides 869 without a remainder.
1,11,79,869
Greatest Common Factor
We found the factors 11,869 . The biggest common factor number is the GCF number.
So the greatest common factor 11,869 is 11.
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 8401/11, 8162/869?
Answer: LCM of Numerators as per given numbers 8401/11, 8162/869 is
LCM of Numerators i.e. for 8401,8162 is 68568962
GCF of denominators i.e. for 11,869 is 11.
Thus, LCM of Fractions is 6233542.Finally, LCM of Fractions for 8401/11, 8162/869 is 6233542.