Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 45/198, 64/716, 759/578 quickly i.e. 364320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 45/198, 64/716, 759/578 is 364320.
LCM(45/198, 64/716, 759/578) = 364320
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 45/198,64/716,759/578
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 45,64,759
Least Common Multiple of Numerators i.e. LCM of 45,64,759 is 728640.
GCF of Denominators means GCF of 198,716,578 as per the given fractions.
GCF of 198,716,578 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 45,64,759
3 | 45, 64, 759 |
15, 64, 253 |
∴ So the LCM of the given numbers is 3 x 15 x 64 x 253 = 728640
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 45,64,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,64,759) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(45,64,759) x common factors =1 x 3 = 3
LCM(45,64,759) = ( 45 × 64 × 759 ) / 3
LCM(45,64,759) = 2185920 / 3
LCM(45,64,759) = 728640
Lets's calculate GCF of 198,716,578
2 | 198, 716, 578 |
99, 358, 289 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 728640/2
Therefore the LCM of Fractions 45/198,64/716,759/578 is 364320
Factors of 198
List of positive integer factors of 198 that divides 198 without a remainder.
1,2,3,6,9,11,18,22,33,66,99,198
Factors of 716
List of positive integer factors of 716 that divides 716 without a remainder.
1,2,4,179,358,716
Factors of 578
List of positive integer factors of 578 that divides 578 without a remainder.
1,2,17,34,289,578
Greatest Common Factor
We found the factors 198,716,578 . The biggest common factor number is the GCF number.
So the greatest common factor 198,716,578 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 45/198, 64/716, 759/578?
Answer: LCM of Numerators as per given numbers 45/198, 64/716, 759/578 is
LCM of Numerators i.e. for 45,64,759 is 728640
GCF of denominators i.e. for 198,716,578 is 2.
Thus, LCM of Fractions is 364320.Finally, LCM of Fractions for 45/198, 64/716, 759/578 is 364320.