Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 804/90, 657/9789 quickly i.e. 58692 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 804/90, 657/9789 is 58692.
LCM(804/90, 657/9789) = 58692
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 804/90,657/9789
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 804,657
Least Common Multiple of Numerators i.e. LCM of 804,657 is 176076.
GCF of Denominators means GCF of 90,9789 as per the given fractions.
GCF of 90,9789 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 804,657
3 | 804, 657 |
268, 219 |
∴ So the LCM of the given numbers is 3 x 268 x 219 = 176076
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 804,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(804,657) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(804,657) x common factors =3 x 1 = 3
LCM(804,657) = ( 804 × 657 ) / 3
LCM(804,657) = 528228 / 3
LCM(804,657) = 176076
Lets's calculate GCF of 90,9789
3 | 90, 9789 |
30, 3263 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 176076/3
Therefore the LCM of Fractions 804/90,657/9789 is 58692
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 9789
List of positive integer factors of 9789 that divides 9789 without a remainder.
1,3,13,39,251,753,3263,9789
Greatest Common Factor
We found the factors 90,9789 . The biggest common factor number is the GCF number.
So the greatest common factor 90,9789 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 804/90, 657/9789?
Answer: LCM of Numerators as per given numbers 804/90, 657/9789 is
LCM of Numerators i.e. for 804,657 is 176076
GCF of denominators i.e. for 90,9789 is 3.
Thus, LCM of Fractions is 58692.Finally, LCM of Fractions for 804/90, 657/9789 is 58692.