Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 321/563, 7755/8651 quickly i.e. 829785 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 321/563, 7755/8651 is 829785.
LCM(321/563, 7755/8651) = 829785
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 321/563,7755/8651
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 321,7755
Least Common Multiple of Numerators i.e. LCM of 321,7755 is 829785.
GCF of Denominators means GCF of 563,8651 as per the given fractions.
GCF of 563,8651 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 321,7755
3 | 321, 7755 |
107, 2585 |
∴ So the LCM of the given numbers is 3 x 107 x 2585 = 829785
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 321,7755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,7755) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(321,7755) x common factors =3 x 1 = 3
LCM(321,7755) = ( 321 × 7755 ) / 3
LCM(321,7755) = 2489355 / 3
LCM(321,7755) = 829785
Lets's calculate GCF of 563,8651
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 829785/1
Therefore the LCM of Fractions 321/563,7755/8651 is 829785
Factors of 563
List of positive integer factors of 563 that divides 563 without a remainder.
1,563
Factors of 8651
List of positive integer factors of 8651 that divides 8651 without a remainder.
1,41,211,8651
Greatest Common Factor
We found the factors 563,8651 . The biggest common factor number is the GCF number.
So the greatest common factor 563,8651 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 321/563, 7755/8651?
Answer: LCM of Numerators as per given numbers 321/563, 7755/8651 is
LCM of Numerators i.e. for 321,7755 is 829785
GCF of denominators i.e. for 563,8651 is 1.
Thus, LCM of Fractions is 829785.Finally, LCM of Fractions for 321/563, 7755/8651 is 829785.