Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 223/60, 165/34, 644/56 quickly i.e. 11847990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 223/60, 165/34, 644/56 is 11847990.
LCM(223/60, 165/34, 644/56) = 11847990
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 223/60,165/34,644/56
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 223,165,644
Least Common Multiple of Numerators i.e. LCM of 223,165,644 is 23695980.
GCF of Denominators means GCF of 60,34,56 as per the given fractions.
GCF of 60,34,56 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 223,165,644
Given numbers has no common factors except 1. So, there LCM is their product i.e 23695980
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 223,165,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(223,165,644) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(223,165,644) x common factors =1 x 1 = 1
LCM(223,165,644) = ( 223 × 165 × 644 ) / 1
LCM(223,165,644) = 23695980 / 1
LCM(223,165,644) = 23695980
Lets's calculate GCF of 60,34,56
2 | 60, 34, 56 |
30, 17, 28 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23695980/2
Therefore the LCM of Fractions 223/60,165/34,644/56 is 11847990
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Greatest Common Factor
We found the factors 60,34,56 . The biggest common factor number is the GCF number.
So the greatest common factor 60,34,56 is 2.
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 223/60, 165/34, 644/56?
Answer: LCM of Numerators as per given numbers 223/60, 165/34, 644/56 is
LCM of Numerators i.e. for 223,165,644 is 23695980
GCF of denominators i.e. for 60,34,56 is 2.
Thus, LCM of Fractions is 11847990.Finally, LCM of Fractions for 223/60, 165/34, 644/56 is 11847990.