Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/810, 91/284, 545/671 quickly i.e. 545545 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/810, 91/284, 545/671 is 545545.
LCM(11/810, 91/284, 545/671) = 545545
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/810,91/284,545/671
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 11,91,545
Least Common Multiple of Numerators i.e. LCM of 11,91,545 is 545545.
GCF of Denominators means GCF of 810,284,671 as per the given fractions.
GCF of 810,284,671 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,91,545
Given numbers has no common factors except 1. So, there LCM is their product i.e 545545
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 11,91,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,91,545) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,91,545) x common factors =1 x 1 = 1
LCM(11,91,545) = ( 11 × 91 × 545 ) / 1
LCM(11,91,545) = 545545 / 1
LCM(11,91,545) = 545545
Lets's calculate GCF of 810,284,671
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 545545/1
Therefore the LCM of Fractions 11/810,91/284,545/671 is 545545
Factors of 810
List of positive integer factors of 810 that divides 810 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Factors of 284
List of positive integer factors of 284 that divides 284 without a remainder.
1,2,4,71,142,284
Factors of 671
List of positive integer factors of 671 that divides 671 without a remainder.
1,11,61,671
Greatest Common Factor
We found the factors 810,284,671 . The biggest common factor number is the GCF number.
So the greatest common factor 810,284,671 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 11/810, 91/284, 545/671?
Answer: LCM of Numerators as per given numbers 11/810, 91/284, 545/671 is
LCM of Numerators i.e. for 11,91,545 is 545545
GCF of denominators i.e. for 810,284,671 is 1.
Thus, LCM of Fractions is 545545.Finally, LCM of Fractions for 11/810, 91/284, 545/671 is 545545.