Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 51/32, 40/35, 20/48 quickly i.e. 2040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 51/32, 40/35, 20/48 is 2040.
LCM(51/32, 40/35, 20/48) = 2040
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 51/32,40/35,20/48
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 51,40,20
Least Common Multiple of Numerators i.e. LCM of 51,40,20 is 2040.
GCF of Denominators means GCF of 32,35,48 as per the given fractions.
GCF of 32,35,48 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 51,40,20
2 | 51, 40, 20 |
2 | 51, 20, 10 |
5 | 51, 5, 10 |
51, 1, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 51 x 1 x 2 = 2040
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 51,40,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,40,20) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(51,40,20) x common factors =1 x 20 = 20
LCM(51,40,20) = ( 51 × 40 × 20 ) / 20
LCM(51,40,20) = 40800 / 20
LCM(51,40,20) = 2040
Lets's calculate GCF of 32,35,48
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2040/1
Therefore the LCM of Fractions 51/32,40/35,20/48 is 2040
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Greatest Common Factor
We found the factors 32,35,48 . The biggest common factor number is the GCF number.
So the greatest common factor 32,35,48 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 51/32, 40/35, 20/48?
Answer: LCM of Numerators as per given numbers 51/32, 40/35, 20/48 is
LCM of Numerators i.e. for 51,40,20 is 2040
GCF of denominators i.e. for 32,35,48 is 1.
Thus, LCM of Fractions is 2040.Finally, LCM of Fractions for 51/32, 40/35, 20/48 is 2040.