Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 789/619, 627/428, 978/224 quickly i.e. 53757726 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 789/619, 627/428, 978/224 is 53757726.
LCM(789/619, 627/428, 978/224) = 53757726
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 789/619,627/428,978/224
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 789,627,978
Least Common Multiple of Numerators i.e. LCM of 789,627,978 is 53757726.
GCF of Denominators means GCF of 619,428,224 as per the given fractions.
GCF of 619,428,224 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 789,627,978
3 | 789, 627, 978 |
263, 209, 326 |
∴ So the LCM of the given numbers is 3 x 263 x 209 x 326 = 53757726
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 789,627,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(789,627,978) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(789,627,978) x common factors =3 x 3 = 9
LCM(789,627,978) = ( 789 × 627 × 978 ) / 9
LCM(789,627,978) = 483819534 / 9
LCM(789,627,978) = 53757726
Lets's calculate GCF of 619,428,224
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53757726/1
Therefore the LCM of Fractions 789/619,627/428,978/224 is 53757726
Factors of 619
List of positive integer factors of 619 that divides 619 without a remainder.
1,619
Factors of 428
List of positive integer factors of 428 that divides 428 without a remainder.
1,2,4,107,214,428
Factors of 224
List of positive integer factors of 224 that divides 224 without a remainder.
1,2,4,7,8,14,16,28,32,56,112,224
Greatest Common Factor
We found the factors 619,428,224 . The biggest common factor number is the GCF number.
So the greatest common factor 619,428,224 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 789/619, 627/428, 978/224?
Answer: LCM of Numerators as per given numbers 789/619, 627/428, 978/224 is
LCM of Numerators i.e. for 789,627,978 is 53757726
GCF of denominators i.e. for 619,428,224 is 1.
Thus, LCM of Fractions is 53757726.Finally, LCM of Fractions for 789/619, 627/428, 978/224 is 53757726.