Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 627/98, 504/7994 quickly i.e. 7524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 627/98, 504/7994 is 7524.
LCM(627/98, 504/7994) = 7524
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 627/98,504/7994
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 627,504
Least Common Multiple of Numerators i.e. LCM of 627,504 is 105336.
GCF of Denominators means GCF of 98,7994 as per the given fractions.
GCF of 98,7994 is 14 as it is the largest common factor for these numbers.
Lets's calculate LCM of 627,504
3 | 627, 504 |
209, 168 |
∴ So the LCM of the given numbers is 3 x 209 x 168 = 105336
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 627,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(627,504) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(627,504) x common factors =3 x 1 = 3
LCM(627,504) = ( 627 × 504 ) / 3
LCM(627,504) = 316008 / 3
LCM(627,504) = 105336
Lets's calculate GCF of 98,7994
2 | 98, 7994 |
7 | 49, 3997 |
7, 571 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105336/14
Therefore the LCM of Fractions 627/98,504/7994 is 7524
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 7994
List of positive integer factors of 7994 that divides 7994 without a remainder.
1,2,7,14,571,1142,3997,7994
Greatest Common Factor
We found the factors 98,7994 . The biggest common factor number is the GCF number.
So the greatest common factor 98,7994 is 14.
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 627/98, 504/7994?
Answer: LCM of Numerators as per given numbers 627/98, 504/7994 is
LCM of Numerators i.e. for 627,504 is 105336
GCF of denominators i.e. for 98,7994 is 14.
Thus, LCM of Fractions is 7524.Finally, LCM of Fractions for 627/98, 504/7994 is 7524.