Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 775/65, 853/55, 618/660 quickly i.e. 81708870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 775/65, 853/55, 618/660 is 81708870.
LCM(775/65, 853/55, 618/660) = 81708870
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 775/65,853/55,618/660
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 775,853,618
Least Common Multiple of Numerators i.e. LCM of 775,853,618 is 408544350.
GCF of Denominators means GCF of 65,55,660 as per the given fractions.
GCF of 65,55,660 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 775,853,618
Given numbers has no common factors except 1. So, there LCM is their product i.e 408544350
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 775,853,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(775,853,618) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(775,853,618) x common factors =1 x 1 = 1
LCM(775,853,618) = ( 775 × 853 × 618 ) / 1
LCM(775,853,618) = 408544350 / 1
LCM(775,853,618) = 408544350
Lets's calculate GCF of 65,55,660
5 | 65, 55, 660 |
13, 11, 132 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 408544350/5
Therefore the LCM of Fractions 775/65,853/55,618/660 is 81708870
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 660
List of positive integer factors of 660 that divides 660 without a remainder.
1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Greatest Common Factor
We found the factors 65,55,660 . The biggest common factor number is the GCF number.
So the greatest common factor 65,55,660 is 5.
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 775/65, 853/55, 618/660?
Answer: LCM of Numerators as per given numbers 775/65, 853/55, 618/660 is
LCM of Numerators i.e. for 775,853,618 is 408544350
GCF of denominators i.e. for 65,55,660 is 5.
Thus, LCM of Fractions is 81708870.Finally, LCM of Fractions for 775/65, 853/55, 618/660 is 81708870.