Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 75/766, 19/758, 789/625 quickly i.e. 374775 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 75/766, 19/758, 789/625 is 374775.
LCM(75/766, 19/758, 789/625) = 374775
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 75/766,19/758,789/625
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 75,19,789
Least Common Multiple of Numerators i.e. LCM of 75,19,789 is 374775.
GCF of Denominators means GCF of 766,758,625 as per the given fractions.
GCF of 766,758,625 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 75,19,789
3 | 75, 19, 789 |
25, 19, 263 |
∴ So the LCM of the given numbers is 3 x 25 x 19 x 263 = 374775
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 75,19,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,19,789) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(75,19,789) x common factors =1 x 3 = 3
LCM(75,19,789) = ( 75 × 19 × 789 ) / 3
LCM(75,19,789) = 1124325 / 3
LCM(75,19,789) = 374775
Lets's calculate GCF of 766,758,625
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 374775/1
Therefore the LCM of Fractions 75/766,19/758,789/625 is 374775
Factors of 766
List of positive integer factors of 766 that divides 766 without a remainder.
1,2,383,766
Factors of 758
List of positive integer factors of 758 that divides 758 without a remainder.
1,2,379,758
Factors of 625
List of positive integer factors of 625 that divides 625 without a remainder.
1,5,25,125,625
Greatest Common Factor
We found the factors 766,758,625 . The biggest common factor number is the GCF number.
So the greatest common factor 766,758,625 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 75/766, 19/758, 789/625?
Answer: LCM of Numerators as per given numbers 75/766, 19/758, 789/625 is
LCM of Numerators i.e. for 75,19,789 is 374775
GCF of denominators i.e. for 766,758,625 is 1.
Thus, LCM of Fractions is 374775.Finally, LCM of Fractions for 75/766, 19/758, 789/625 is 374775.