Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1409/274, 2738/205 quickly i.e. 3857842 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1409/274, 2738/205 is 3857842.
LCM(1409/274, 2738/205) = 3857842
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1409/274,2738/205
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 1409,2738
Least Common Multiple of Numerators i.e. LCM of 1409,2738 is 3857842.
GCF of Denominators means GCF of 274,205 as per the given fractions.
GCF of 274,205 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1409,2738
Given numbers has no common factors except 1. So, there LCM is their product i.e 3857842
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 1409,2738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1409,2738) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1409,2738) x common factors =1 x 1 = 1
LCM(1409,2738) = ( 1409 × 2738 ) / 1
LCM(1409,2738) = 3857842 / 1
LCM(1409,2738) = 3857842
Lets's calculate GCF of 274,205
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3857842/1
Therefore the LCM of Fractions 1409/274,2738/205 is 3857842
Factors of 274
List of positive integer factors of 274 that divides 274 without a remainder.
1,2,137,274
Factors of 205
List of positive integer factors of 205 that divides 205 without a remainder.
1,5,41,205
Greatest Common Factor
We found the factors 274,205 . The biggest common factor number is the GCF number.
So the greatest common factor 274,205 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 1409/274, 2738/205?
Answer: LCM of Numerators as per given numbers 1409/274, 2738/205 is
LCM of Numerators i.e. for 1409,2738 is 3857842
GCF of denominators i.e. for 274,205 is 1.
Thus, LCM of Fractions is 3857842.Finally, LCM of Fractions for 1409/274, 2738/205 is 3857842.