Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 865/927, 812/267, 754/655 quickly i.e. 9130940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 865/927, 812/267, 754/655 is 9130940.
LCM(865/927, 812/267, 754/655) = 9130940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 865/927,812/267,754/655
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 865,812,754
Least Common Multiple of Numerators i.e. LCM of 865,812,754 is 9130940.
GCF of Denominators means GCF of 927,267,655 as per the given fractions.
GCF of 927,267,655 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 865,812,754
2 | 865, 812, 754 |
29 | 865, 406, 377 |
865, 14, 13 |
∴ So the LCM of the given numbers is 2 x 29 x 865 x 14 x 13 = 9130940
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 865,812,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,812,754) = 1
common factors(in case of two or more numbers have common factors) = 58
GCF(865,812,754) x common factors =1 x 58 = 58
LCM(865,812,754) = ( 865 × 812 × 754 ) / 58
LCM(865,812,754) = 529594520 / 58
LCM(865,812,754) = 9130940
Lets's calculate GCF of 927,267,655
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9130940/1
Therefore the LCM of Fractions 865/927,812/267,754/655 is 9130940
Factors of 927
List of positive integer factors of 927 that divides 927 without a remainder.
1,3,9,103,309,927
Factors of 267
List of positive integer factors of 267 that divides 267 without a remainder.
1,3,89,267
Factors of 655
List of positive integer factors of 655 that divides 655 without a remainder.
1,5,131,655
Greatest Common Factor
We found the factors 927,267,655 . The biggest common factor number is the GCF number.
So the greatest common factor 927,267,655 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 865/927, 812/267, 754/655?
Answer: LCM of Numerators as per given numbers 865/927, 812/267, 754/655 is
LCM of Numerators i.e. for 865,812,754 is 9130940
GCF of denominators i.e. for 927,267,655 is 1.
Thus, LCM of Fractions is 9130940.Finally, LCM of Fractions for 865/927, 812/267, 754/655 is 9130940.