Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9/51, 2/16, 73/40, 98/733 quickly i.e. 64386 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9/51, 2/16, 73/40, 98/733 is 64386.
LCM(9/51, 2/16, 73/40, 98/733) = 64386
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9/51,2/16,73/40,98/733
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 9,2,73,98
Least Common Multiple of Numerators i.e. LCM of 9,2,73,98 is 64386.
GCF of Denominators means GCF of 51,16,40,733 as per the given fractions.
GCF of 51,16,40,733 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9,2,73,98
2 | 9, 2, 73, 98 |
9, 1, 73, 49 |
∴ So the LCM of the given numbers is 2 x 9 x 1 x 73 x 49 = 64386
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 9,2,73,98 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9,2,73,98) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(9,2,73,98) x common factors =1 x 2 = 2
LCM(9,2,73,98) = ( 9 × 2 × 73 × 98 ) / 2
LCM(9,2,73,98) = 128772 / 2
LCM(9,2,73,98) = 64386
Lets's calculate GCF of 51,16,40,733
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64386/1
Therefore the LCM of Fractions 9/51,2/16,73/40,98/733 is 64386
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
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 733
List of positive integer factors of 733 that divides 733 without a remainder.
1,733
Greatest Common Factor
We found the factors 51,16,40,733 . The biggest common factor number is the GCF number.
So the greatest common factor 51,16,40,733 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 9/51, 2/16, 73/40, 98/733?
Answer: LCM of Numerators as per given numbers 9/51, 2/16, 73/40, 98/733 is
LCM of Numerators i.e. for 9,2,73,98 is 64386
GCF of denominators i.e. for 51,16,40,733 is 1.
Thus, LCM of Fractions is 64386.Finally, LCM of Fractions for 9/51, 2/16, 73/40, 98/733 is 64386.