Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 329/40, 517/68, 896/51 quickly i.e. 463232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 329/40, 517/68, 896/51 is 463232.
LCM(329/40, 517/68, 896/51) = 463232
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 329/40,517/68,896/51
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 329,517,896
Least Common Multiple of Numerators i.e. LCM of 329,517,896 is 463232.
GCF of Denominators means GCF of 40,68,51 as per the given fractions.
GCF of 40,68,51 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 329,517,896
7 | 329, 517, 896 |
47 | 47, 517, 128 |
1, 11, 128 |
∴ So the LCM of the given numbers is 7 x 47 x 1 x 11 x 128 = 463232
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 329,517,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(329,517,896) = 1
common factors(in case of two or more numbers have common factors) = 329
GCF(329,517,896) x common factors =1 x 329 = 329
LCM(329,517,896) = ( 329 × 517 × 896 ) / 329
LCM(329,517,896) = 152403328 / 329
LCM(329,517,896) = 463232
Lets's calculate GCF of 40,68,51
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 463232/1
Therefore the LCM of Fractions 329/40,517/68,896/51 is 463232
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 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Greatest Common Factor
We found the factors 40,68,51 . The biggest common factor number is the GCF number.
So the greatest common factor 40,68,51 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 329/40, 517/68, 896/51?
Answer: LCM of Numerators as per given numbers 329/40, 517/68, 896/51 is
LCM of Numerators i.e. for 329,517,896 is 463232
GCF of denominators i.e. for 40,68,51 is 1.
Thus, LCM of Fractions is 463232.Finally, LCM of Fractions for 329/40, 517/68, 896/51 is 463232.