Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4447/106, 6678/869 quickly i.e. 29697066 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4447/106, 6678/869 is 29697066.
LCM(4447/106, 6678/869) = 29697066
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4447/106,6678/869
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 4447,6678
Least Common Multiple of Numerators i.e. LCM of 4447,6678 is 29697066.
GCF of Denominators means GCF of 106,869 as per the given fractions.
GCF of 106,869 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4447,6678
Given numbers has no common factors except 1. So, there LCM is their product i.e 29697066
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 4447,6678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4447,6678) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4447,6678) x common factors =1 x 1 = 1
LCM(4447,6678) = ( 4447 × 6678 ) / 1
LCM(4447,6678) = 29697066 / 1
LCM(4447,6678) = 29697066
Lets's calculate GCF of 106,869
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29697066/1
Therefore the LCM of Fractions 4447/106,6678/869 is 29697066
Factors of 106
List of positive integer factors of 106 that divides 106 without a remainder.
1,2,53,106
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 106,869 . The biggest common factor number is the GCF number.
So the greatest common factor 106,869 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 4447/106, 6678/869?
Answer: LCM of Numerators as per given numbers 4447/106, 6678/869 is
LCM of Numerators i.e. for 4447,6678 is 29697066
GCF of denominators i.e. for 106,869 is 1.
Thus, LCM of Fractions is 29697066.Finally, LCM of Fractions for 4447/106, 6678/869 is 29697066.