Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 527/885, 669/159, 193/321 quickly i.e. 22681553 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 527/885, 669/159, 193/321 is 22681553.
LCM(527/885, 669/159, 193/321) = 22681553
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 527/885,669/159,193/321
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 527,669,193
Least Common Multiple of Numerators i.e. LCM of 527,669,193 is 68044659.
GCF of Denominators means GCF of 885,159,321 as per the given fractions.
GCF of 885,159,321 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 527,669,193
Given numbers has no common factors except 1. So, there LCM is their product i.e 68044659
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 527,669,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(527,669,193) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(527,669,193) x common factors =1 x 1 = 1
LCM(527,669,193) = ( 527 × 669 × 193 ) / 1
LCM(527,669,193) = 68044659 / 1
LCM(527,669,193) = 68044659
Lets's calculate GCF of 885,159,321
3 | 885, 159, 321 |
295, 53, 107 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68044659/3
Therefore the LCM of Fractions 527/885,669/159,193/321 is 22681553
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Factors of 159
List of positive integer factors of 159 that divides 159 without a remainder.
1,3,53,159
Factors of 321
List of positive integer factors of 321 that divides 321 without a remainder.
1,3,107,321
Greatest Common Factor
We found the factors 885,159,321 . The biggest common factor number is the GCF number.
So the greatest common factor 885,159,321 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 527/885, 669/159, 193/321?
Answer: LCM of Numerators as per given numbers 527/885, 669/159, 193/321 is
LCM of Numerators i.e. for 527,669,193 is 68044659
GCF of denominators i.e. for 885,159,321 is 3.
Thus, LCM of Fractions is 22681553.Finally, LCM of Fractions for 527/885, 669/159, 193/321 is 22681553.