Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/27, 56/45, 16/20, 32/707 quickly i.e. 10528 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/27, 56/45, 16/20, 32/707 is 10528.
LCM(47/27, 56/45, 16/20, 32/707) = 10528
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/27,56/45,16/20,32/707
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 47,56,16,32
Least Common Multiple of Numerators i.e. LCM of 47,56,16,32 is 10528.
GCF of Denominators means GCF of 27,45,20,707 as per the given fractions.
GCF of 27,45,20,707 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,56,16,32
2 | 47, 56, 16, 32 |
2 | 47, 28, 8, 16 |
2 | 47, 14, 4, 8 |
2 | 47, 7, 2, 4 |
47, 7, 1, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 47 x 7 x 1 x 2 = 10528
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 47,56,16,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,56,16,32) = 1
common factors(in case of two or more numbers have common factors) = 128
GCF(47,56,16,32) x common factors =1 x 128 = 128
LCM(47,56,16,32) = ( 47 × 56 × 16 × 32 ) / 128
LCM(47,56,16,32) = 1347584 / 128
LCM(47,56,16,32) = 10528
Lets's calculate GCF of 27,45,20,707
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10528/1
Therefore the LCM of Fractions 47/27,56/45,16/20,32/707 is 10528
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1,7,101,707
Greatest Common Factor
We found the factors 27,45,20,707 . The biggest common factor number is the GCF number.
So the greatest common factor 27,45,20,707 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 47/27, 56/45, 16/20, 32/707?
Answer: LCM of Numerators as per given numbers 47/27, 56/45, 16/20, 32/707 is
LCM of Numerators i.e. for 47,56,16,32 is 10528
GCF of denominators i.e. for 27,45,20,707 is 1.
Thus, LCM of Fractions is 10528.Finally, LCM of Fractions for 47/27, 56/45, 16/20, 32/707 is 10528.