Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 811/10, 548/55, 853/895 quickly i.e. 379097084/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 811/10, 548/55, 853/895 is 379097084/5.
LCM(811/10, 548/55, 853/895) = 379097084/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 811/10,548/55,853/895
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 811,548,853
Least Common Multiple of Numerators i.e. LCM of 811,548,853 is 379097084.
GCF of Denominators means GCF of 10,55,895 as per the given fractions.
GCF of 10,55,895 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 811,548,853
Given numbers has no common factors except 1. So, there LCM is their product i.e 379097084
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 811,548,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(811,548,853) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(811,548,853) x common factors =1 x 1 = 1
LCM(811,548,853) = ( 811 × 548 × 853 ) / 1
LCM(811,548,853) = 379097084 / 1
LCM(811,548,853) = 379097084
Lets's calculate GCF of 10,55,895
5 | 10, 55, 895 |
2, 11, 179 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 379097084/5
Therefore the LCM of Fractions 811/10,548/55,853/895 is 379097084/5
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 895
List of positive integer factors of 895 that divides 895 without a remainder.
1,5,179,895
Greatest Common Factor
We found the factors 10,55,895 . The biggest common factor number is the GCF number.
So the greatest common factor 10,55,895 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 811/10, 548/55, 853/895?
Answer: LCM of Numerators as per given numbers 811/10, 548/55, 853/895 is
LCM of Numerators i.e. for 811,548,853 is 379097084
GCF of denominators i.e. for 10,55,895 is 5.
Thus, LCM of Fractions is 379097084/5.Finally, LCM of Fractions for 811/10, 548/55, 853/895 is 379097084/5.