Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4056/355, 1811/810 quickly i.e. 7345416/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4056/355, 1811/810 is 7345416/5.
LCM(4056/355, 1811/810) = 7345416/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4056/355,1811/810
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 4056,1811
Least Common Multiple of Numerators i.e. LCM of 4056,1811 is 7345416.
GCF of Denominators means GCF of 355,810 as per the given fractions.
GCF of 355,810 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4056,1811
Given numbers has no common factors except 1. So, there LCM is their product i.e 7345416
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 4056,1811 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4056,1811) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4056,1811) x common factors =1 x 1 = 1
LCM(4056,1811) = ( 4056 × 1811 ) / 1
LCM(4056,1811) = 7345416 / 1
LCM(4056,1811) = 7345416
Lets's calculate GCF of 355,810
5 | 355, 810 |
71, 162 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7345416/5
Therefore the LCM of Fractions 4056/355,1811/810 is 7345416/5
Factors of 355
List of positive integer factors of 355 that divides 355 without a remainder.
1,5,71,355
Factors of 810
List of positive integer factors of 810 that divides 810 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Greatest Common Factor
We found the factors 355,810 . The biggest common factor number is the GCF number.
So the greatest common factor 355,810 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 4056/355, 1811/810?
Answer: LCM of Numerators as per given numbers 4056/355, 1811/810 is
LCM of Numerators i.e. for 4056,1811 is 7345416
GCF of denominators i.e. for 355,810 is 5.
Thus, LCM of Fractions is 7345416/5.Finally, LCM of Fractions for 4056/355, 1811/810 is 7345416/5.