Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3400/244, 2886/4826 quickly i.e. 2453100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3400/244, 2886/4826 is 2453100.
LCM(3400/244, 2886/4826) = 2453100
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3400/244,2886/4826
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 3400,2886
Least Common Multiple of Numerators i.e. LCM of 3400,2886 is 4906200.
GCF of Denominators means GCF of 244,4826 as per the given fractions.
GCF of 244,4826 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3400,2886
2 | 3400, 2886 |
1700, 1443 |
∴ So the LCM of the given numbers is 2 x 1700 x 1443 = 4906200
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 3400,2886 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3400,2886) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(3400,2886) x common factors =2 x 1 = 2
LCM(3400,2886) = ( 3400 × 2886 ) / 2
LCM(3400,2886) = 9812400 / 2
LCM(3400,2886) = 4906200
Lets's calculate GCF of 244,4826
2 | 244, 4826 |
122, 2413 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4906200/2
Therefore the LCM of Fractions 3400/244,2886/4826 is 2453100
Factors of 244
List of positive integer factors of 244 that divides 244 without a remainder.
1,2,4,61,122,244
Factors of 4826
List of positive integer factors of 4826 that divides 4826 without a remainder.
1,2,19,38,127,254,2413,4826
Greatest Common Factor
We found the factors 244,4826 . The biggest common factor number is the GCF number.
So the greatest common factor 244,4826 is 2.
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 3400/244, 2886/4826?
Answer: LCM of Numerators as per given numbers 3400/244, 2886/4826 is
LCM of Numerators i.e. for 3400,2886 is 4906200
GCF of denominators i.e. for 244,4826 is 2.
Thus, LCM of Fractions is 2453100.Finally, LCM of Fractions for 3400/244, 2886/4826 is 2453100.