Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 811/754, 426/793, 827/648 quickly i.e. 285716922 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 811/754, 426/793, 827/648 is 285716922.
LCM(811/754, 426/793, 827/648) = 285716922
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 811/754,426/793,827/648
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 811,426,827
Least Common Multiple of Numerators i.e. LCM of 811,426,827 is 285716922.
GCF of Denominators means GCF of 754,793,648 as per the given fractions.
GCF of 754,793,648 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 811,426,827
Given numbers has no common factors except 1. So, there LCM is their product i.e 285716922
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 811,426,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(811,426,827) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(811,426,827) x common factors =1 x 1 = 1
LCM(811,426,827) = ( 811 × 426 × 827 ) / 1
LCM(811,426,827) = 285716922 / 1
LCM(811,426,827) = 285716922
Lets's calculate GCF of 754,793,648
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 285716922/1
Therefore the LCM of Fractions 811/754,426/793,827/648 is 285716922
Factors of 754
List of positive integer factors of 754 that divides 754 without a remainder.
1,2,13,26,29,58,377,754
Factors of 793
List of positive integer factors of 793 that divides 793 without a remainder.
1,13,61,793
Factors of 648
List of positive integer factors of 648 that divides 648 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Greatest Common Factor
We found the factors 754,793,648 . The biggest common factor number is the GCF number.
So the greatest common factor 754,793,648 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 811/754, 426/793, 827/648?
Answer: LCM of Numerators as per given numbers 811/754, 426/793, 827/648 is
LCM of Numerators i.e. for 811,426,827 is 285716922
GCF of denominators i.e. for 754,793,648 is 1.
Thus, LCM of Fractions is 285716922.Finally, LCM of Fractions for 811/754, 426/793, 827/648 is 285716922.