Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/738, 28/730, 327/990 quickly i.e. 361662 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/738, 28/730, 327/990 is 361662.
LCM(79/738, 28/730, 327/990) = 361662
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/738,28/730,327/990
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 79,28,327
Least Common Multiple of Numerators i.e. LCM of 79,28,327 is 723324.
GCF of Denominators means GCF of 738,730,990 as per the given fractions.
GCF of 738,730,990 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,28,327
Given numbers has no common factors except 1. So, there LCM is their product i.e 723324
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 79,28,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,28,327) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,28,327) x common factors =1 x 1 = 1
LCM(79,28,327) = ( 79 × 28 × 327 ) / 1
LCM(79,28,327) = 723324 / 1
LCM(79,28,327) = 723324
Lets's calculate GCF of 738,730,990
2 | 738, 730, 990 |
369, 365, 495 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 723324/2
Therefore the LCM of Fractions 79/738,28/730,327/990 is 361662
Factors of 738
List of positive integer factors of 738 that divides 738 without a remainder.
1,2,3,6,9,18,41,82,123,246,369,738
Factors of 730
List of positive integer factors of 730 that divides 730 without a remainder.
1,2,5,10,73,146,365,730
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Greatest Common Factor
We found the factors 738,730,990 . The biggest common factor number is the GCF number.
So the greatest common factor 738,730,990 is 2.
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 79/738, 28/730, 327/990?
Answer: LCM of Numerators as per given numbers 79/738, 28/730, 327/990 is
LCM of Numerators i.e. for 79,28,327 is 723324
GCF of denominators i.e. for 738,730,990 is 2.
Thus, LCM of Fractions is 361662.Finally, LCM of Fractions for 79/738, 28/730, 327/990 is 361662.