Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6122/550, 3319/869 quickly i.e. 20318918/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6122/550, 3319/869 is 20318918/11.
LCM(6122/550, 3319/869) = 20318918/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6122/550,3319/869
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 6122,3319
Least Common Multiple of Numerators i.e. LCM of 6122,3319 is 20318918.
GCF of Denominators means GCF of 550,869 as per the given fractions.
GCF of 550,869 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6122,3319
Given numbers has no common factors except 1. So, there LCM is their product i.e 20318918
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 6122,3319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6122,3319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6122,3319) x common factors =1 x 1 = 1
LCM(6122,3319) = ( 6122 × 3319 ) / 1
LCM(6122,3319) = 20318918 / 1
LCM(6122,3319) = 20318918
Lets's calculate GCF of 550,869
11 | 550, 869 |
50, 79 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20318918/11
Therefore the LCM of Fractions 6122/550,3319/869 is 20318918/11
Factors of 550
List of positive integer factors of 550 that divides 550 without a remainder.
1,2,5,10,11,22,25,50,55,110,275,550
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 550,869 . The biggest common factor number is the GCF number.
So the greatest common factor 550,869 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 6122/550, 3319/869?
Answer: LCM of Numerators as per given numbers 6122/550, 3319/869 is
LCM of Numerators i.e. for 6122,3319 is 20318918
GCF of denominators i.e. for 550,869 is 11.
Thus, LCM of Fractions is 20318918/11.Finally, LCM of Fractions for 6122/550, 3319/869 is 20318918/11.