Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 27/125, 55/804, 566/215 quickly i.e. 840510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 27/125, 55/804, 566/215 is 840510.
LCM(27/125, 55/804, 566/215) = 840510
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 27/125,55/804,566/215
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 27,55,566
Least Common Multiple of Numerators i.e. LCM of 27,55,566 is 840510.
GCF of Denominators means GCF of 125,804,215 as per the given fractions.
GCF of 125,804,215 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 27,55,566
Given numbers has no common factors except 1. So, there LCM is their product i.e 840510
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 27,55,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,55,566) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,55,566) x common factors =1 x 1 = 1
LCM(27,55,566) = ( 27 × 55 × 566 ) / 1
LCM(27,55,566) = 840510 / 1
LCM(27,55,566) = 840510
Lets's calculate GCF of 125,804,215
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 840510/1
Therefore the LCM of Fractions 27/125,55/804,566/215 is 840510
Factors of 125
List of positive integer factors of 125 that divides 125 without a remainder.
1,5,25,125
Factors of 804
List of positive integer factors of 804 that divides 804 without a remainder.
1,2,3,4,6,12,67,134,201,268,402,804
Factors of 215
List of positive integer factors of 215 that divides 215 without a remainder.
1,5,43,215
Greatest Common Factor
We found the factors 125,804,215 . The biggest common factor number is the GCF number.
So the greatest common factor 125,804,215 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 27/125, 55/804, 566/215?
Answer: LCM of Numerators as per given numbers 27/125, 55/804, 566/215 is
LCM of Numerators i.e. for 27,55,566 is 840510
GCF of denominators i.e. for 125,804,215 is 1.
Thus, LCM of Fractions is 840510.Finally, LCM of Fractions for 27/125, 55/804, 566/215 is 840510.