Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4450/605, 1679/891 quickly i.e. 7471550/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4450/605, 1679/891 is 7471550/11.
LCM(4450/605, 1679/891) = 7471550/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4450/605,1679/891
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 4450,1679
Least Common Multiple of Numerators i.e. LCM of 4450,1679 is 7471550.
GCF of Denominators means GCF of 605,891 as per the given fractions.
GCF of 605,891 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4450,1679
Given numbers has no common factors except 1. So, there LCM is their product i.e 7471550
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 4450,1679 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4450,1679) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4450,1679) x common factors =1 x 1 = 1
LCM(4450,1679) = ( 4450 × 1679 ) / 1
LCM(4450,1679) = 7471550 / 1
LCM(4450,1679) = 7471550
Lets's calculate GCF of 605,891
11 | 605, 891 |
55, 81 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7471550/11
Therefore the LCM of Fractions 4450/605,1679/891 is 7471550/11
Factors of 605
List of positive integer factors of 605 that divides 605 without a remainder.
1,5,11,55,121,605
Factors of 891
List of positive integer factors of 891 that divides 891 without a remainder.
1,3,9,11,27,33,81,99,297,891
Greatest Common Factor
We found the factors 605,891 . The biggest common factor number is the GCF number.
So the greatest common factor 605,891 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 4450/605, 1679/891?
Answer: LCM of Numerators as per given numbers 4450/605, 1679/891 is
LCM of Numerators i.e. for 4450,1679 is 7471550
GCF of denominators i.e. for 605,891 is 11.
Thus, LCM of Fractions is 7471550/11.Finally, LCM of Fractions for 4450/605, 1679/891 is 7471550/11.