Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 128/26, 811/90, 827/545 quickly i.e. 85849216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 128/26, 811/90, 827/545 is 85849216.
LCM(128/26, 811/90, 827/545) = 85849216
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 128/26,811/90,827/545
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 128,811,827
Least Common Multiple of Numerators i.e. LCM of 128,811,827 is 85849216.
GCF of Denominators means GCF of 26,90,545 as per the given fractions.
GCF of 26,90,545 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 128,811,827
Given numbers has no common factors except 1. So, there LCM is their product i.e 85849216
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 128,811,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,811,827) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(128,811,827) x common factors =1 x 1 = 1
LCM(128,811,827) = ( 128 × 811 × 827 ) / 1
LCM(128,811,827) = 85849216 / 1
LCM(128,811,827) = 85849216
Lets's calculate GCF of 26,90,545
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85849216/1
Therefore the LCM of Fractions 128/26,811/90,827/545 is 85849216
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Greatest Common Factor
We found the factors 26,90,545 . The biggest common factor number is the GCF number.
So the greatest common factor 26,90,545 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 128/26, 811/90, 827/545?
Answer: LCM of Numerators as per given numbers 128/26, 811/90, 827/545 is
LCM of Numerators i.e. for 128,811,827 is 85849216
GCF of denominators i.e. for 26,90,545 is 1.
Thus, LCM of Fractions is 85849216.Finally, LCM of Fractions for 128/26, 811/90, 827/545 is 85849216.