Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 27/20, 41/40, 632/56 quickly i.e. 174906 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 27/20, 41/40, 632/56 is 174906.
LCM(27/20, 41/40, 632/56) = 174906
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 27/20,41/40,632/56
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 27,41,632
Least Common Multiple of Numerators i.e. LCM of 27,41,632 is 699624.
GCF of Denominators means GCF of 20,40,56 as per the given fractions.
GCF of 20,40,56 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 27,41,632
Given numbers has no common factors except 1. So, there LCM is their product i.e 699624
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 27,41,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,41,632) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,41,632) x common factors =1 x 1 = 1
LCM(27,41,632) = ( 27 × 41 × 632 ) / 1
LCM(27,41,632) = 699624 / 1
LCM(27,41,632) = 699624
Lets's calculate GCF of 20,40,56
2 | 20, 40, 56 |
2 | 10, 20, 28 |
5, 10, 14 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 699624/4
Therefore the LCM of Fractions 27/20,41/40,632/56 is 174906
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
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 20,40,56 . The biggest common factor number is the GCF number.
So the greatest common factor 20,40,56 is 4.
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 27/20, 41/40, 632/56?
Answer: LCM of Numerators as per given numbers 27/20, 41/40, 632/56 is
LCM of Numerators i.e. for 27,41,632 is 699624
GCF of denominators i.e. for 20,40,56 is 4.
Thus, LCM of Fractions is 174906.Finally, LCM of Fractions for 27/20, 41/40, 632/56 is 174906.