Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1164/577, 8565/275 quickly i.e. 3323220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1164/577, 8565/275 is 3323220.
LCM(1164/577, 8565/275) = 3323220
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1164/577,8565/275
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 1164,8565
Least Common Multiple of Numerators i.e. LCM of 1164,8565 is 3323220.
GCF of Denominators means GCF of 577,275 as per the given fractions.
GCF of 577,275 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1164,8565
3 | 1164, 8565 |
388, 2855 |
∴ So the LCM of the given numbers is 3 x 388 x 2855 = 3323220
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 1164,8565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1164,8565) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(1164,8565) x common factors =3 x 1 = 3
LCM(1164,8565) = ( 1164 × 8565 ) / 3
LCM(1164,8565) = 9969660 / 3
LCM(1164,8565) = 3323220
Lets's calculate GCF of 577,275
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3323220/1
Therefore the LCM of Fractions 1164/577,8565/275 is 3323220
Factors of 577
List of positive integer factors of 577 that divides 577 without a remainder.
1,577
Factors of 275
List of positive integer factors of 275 that divides 275 without a remainder.
1,5,11,25,55,275
Greatest Common Factor
We found the factors 577,275 . The biggest common factor number is the GCF number.
So the greatest common factor 577,275 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 1164/577, 8565/275?
Answer: LCM of Numerators as per given numbers 1164/577, 8565/275 is
LCM of Numerators i.e. for 1164,8565 is 3323220
GCF of denominators i.e. for 577,275 is 1.
Thus, LCM of Fractions is 3323220.Finally, LCM of Fractions for 1164/577, 8565/275 is 3323220.