Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 183/35, 105/7486 quickly i.e. 6405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 183/35, 105/7486 is 6405.
LCM(183/35, 105/7486) = 6405
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 183/35,105/7486
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 183,105
Least Common Multiple of Numerators i.e. LCM of 183,105 is 6405.
GCF of Denominators means GCF of 35,7486 as per the given fractions.
GCF of 35,7486 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 183,105
3 | 183, 105 |
61, 35 |
∴ So the LCM of the given numbers is 3 x 61 x 35 = 6405
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 183,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(183,105) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(183,105) x common factors =3 x 1 = 3
LCM(183,105) = ( 183 × 105 ) / 3
LCM(183,105) = 19215 / 3
LCM(183,105) = 6405
Lets's calculate GCF of 35,7486
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6405/1
Therefore the LCM of Fractions 183/35,105/7486 is 6405
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 7486
List of positive integer factors of 7486 that divides 7486 without a remainder.
1,2,19,38,197,394,3743,7486
Greatest Common Factor
We found the factors 35,7486 . The biggest common factor number is the GCF number.
So the greatest common factor 35,7486 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 183/35, 105/7486?
Answer: LCM of Numerators as per given numbers 183/35, 105/7486 is
LCM of Numerators i.e. for 183,105 is 6405
GCF of denominators i.e. for 35,7486 is 1.
Thus, LCM of Fractions is 6405.Finally, LCM of Fractions for 183/35, 105/7486 is 6405.