Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 545/271, 534/855 quickly i.e. 291030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 545/271, 534/855 is 291030.
LCM(545/271, 534/855) = 291030
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 545/271,534/855
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 545,534
Least Common Multiple of Numerators i.e. LCM of 545,534 is 291030.
GCF of Denominators means GCF of 271,855 as per the given fractions.
GCF of 271,855 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 545,534
Given numbers has no common factors except 1. So, there LCM is their product i.e 291030
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 545,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(545,534) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(545,534) x common factors =1 x 1 = 1
LCM(545,534) = ( 545 × 534 ) / 1
LCM(545,534) = 291030 / 1
LCM(545,534) = 291030
Lets's calculate GCF of 271,855
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 291030/1
Therefore the LCM of Fractions 545/271,534/855 is 291030
Factors of 271
List of positive integer factors of 271 that divides 271 without a remainder.
1,271
Factors of 855
List of positive integer factors of 855 that divides 855 without a remainder.
1,3,5,9,15,19,45,57,95,171,285,855
Greatest Common Factor
We found the factors 271,855 . The biggest common factor number is the GCF number.
So the greatest common factor 271,855 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 545/271, 534/855?
Answer: LCM of Numerators as per given numbers 545/271, 534/855 is
LCM of Numerators i.e. for 545,534 is 291030
GCF of denominators i.e. for 271,855 is 1.
Thus, LCM of Fractions is 291030.Finally, LCM of Fractions for 545/271, 534/855 is 291030.