Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 19/30, 376/54, 608/789 quickly i.e. 28576/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 19/30, 376/54, 608/789 is 28576/3.
LCM(19/30, 376/54, 608/789) = 28576/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 19/30,376/54,608/789
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 19,376,608
Least Common Multiple of Numerators i.e. LCM of 19,376,608 is 28576.
GCF of Denominators means GCF of 30,54,789 as per the given fractions.
GCF of 30,54,789 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 19,376,608
2 | 19, 376, 608 |
2 | 19, 188, 304 |
2 | 19, 94, 152 |
19 | 19, 47, 76 |
1, 47, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 19 x 1 x 47 x 4 = 28576
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 19,376,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,376,608) = 1
common factors(in case of two or more numbers have common factors) = 152
GCF(19,376,608) x common factors =1 x 152 = 152
LCM(19,376,608) = ( 19 × 376 × 608 ) / 152
LCM(19,376,608) = 4343552 / 152
LCM(19,376,608) = 28576
Lets's calculate GCF of 30,54,789
3 | 30, 54, 789 |
10, 18, 263 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28576/3
Therefore the LCM of Fractions 19/30,376/54,608/789 is 28576/3
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 789
List of positive integer factors of 789 that divides 789 without a remainder.
1,3,263,789
Greatest Common Factor
We found the factors 30,54,789 . The biggest common factor number is the GCF number.
So the greatest common factor 30,54,789 is 3.
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 19/30, 376/54, 608/789?
Answer: LCM of Numerators as per given numbers 19/30, 376/54, 608/789 is
LCM of Numerators i.e. for 19,376,608 is 28576
GCF of denominators i.e. for 30,54,789 is 3.
Thus, LCM of Fractions is 28576/3.Finally, LCM of Fractions for 19/30, 376/54, 608/789 is 28576/3.