Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 15/78, 30/20, 759/798 quickly i.e. 3795 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 15/78, 30/20, 759/798 is 3795.
LCM(15/78, 30/20, 759/798) = 3795
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 15/78,30/20,759/798
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 15,30,759
Least Common Multiple of Numerators i.e. LCM of 15,30,759 is 7590.
GCF of Denominators means GCF of 78,20,798 as per the given fractions.
GCF of 78,20,798 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 15,30,759
3 | 15, 30, 759 |
5 | 5, 10, 253 |
1, 2, 253 |
∴ So the LCM of the given numbers is 3 x 5 x 1 x 2 x 253 = 7590
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 15,30,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,30,759) = 3
common factors(in case of two or more numbers have common factors) = 15
GCF(15,30,759) x common factors =3 x 15 = 45
LCM(15,30,759) = ( 15 × 30 × 759 ) / 45
LCM(15,30,759) = 341550 / 45
LCM(15,30,759) = 7590
Lets's calculate GCF of 78,20,798
2 | 78, 20, 798 |
39, 10, 399 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7590/2
Therefore the LCM of Fractions 15/78,30/20,759/798 is 3795
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 798
List of positive integer factors of 798 that divides 798 without a remainder.
1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798
Greatest Common Factor
We found the factors 78,20,798 . The biggest common factor number is the GCF number.
So the greatest common factor 78,20,798 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 15/78, 30/20, 759/798?
Answer: LCM of Numerators as per given numbers 15/78, 30/20, 759/798 is
LCM of Numerators i.e. for 15,30,759 is 7590
GCF of denominators i.e. for 78,20,798 is 2.
Thus, LCM of Fractions is 3795.Finally, LCM of Fractions for 15/78, 30/20, 759/798 is 3795.