Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 381/26, 196/3450 quickly i.e. 37338 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 381/26, 196/3450 is 37338.
LCM(381/26, 196/3450) = 37338
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 381/26,196/3450
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 381,196
Least Common Multiple of Numerators i.e. LCM of 381,196 is 74676.
GCF of Denominators means GCF of 26,3450 as per the given fractions.
GCF of 26,3450 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 381,196
Given numbers has no common factors except 1. So, there LCM is their product i.e 74676
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 381,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(381,196) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(381,196) x common factors =1 x 1 = 1
LCM(381,196) = ( 381 × 196 ) / 1
LCM(381,196) = 74676 / 1
LCM(381,196) = 74676
Lets's calculate GCF of 26,3450
2 | 26, 3450 |
13, 1725 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74676/2
Therefore the LCM of Fractions 381/26,196/3450 is 37338
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 3450
List of positive integer factors of 3450 that divides 3450 without a remainder.
1,2,3,5,6,10,15,23,25,30,46,50,69,75,115,138,150,230,345,575,690,1150,1725,3450
Greatest Common Factor
We found the factors 26,3450 . The biggest common factor number is the GCF number.
So the greatest common factor 26,3450 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 381/26, 196/3450?
Answer: LCM of Numerators as per given numbers 381/26, 196/3450 is
LCM of Numerators i.e. for 381,196 is 74676
GCF of denominators i.e. for 26,3450 is 2.
Thus, LCM of Fractions is 37338.Finally, LCM of Fractions for 381/26, 196/3450 is 37338.