Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 35/483, 40/442, 548/135 quickly i.e. 38360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 35/483, 40/442, 548/135 is 38360.
LCM(35/483, 40/442, 548/135) = 38360
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 35/483,40/442,548/135
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 35,40,548
Least Common Multiple of Numerators i.e. LCM of 35,40,548 is 38360.
GCF of Denominators means GCF of 483,442,135 as per the given fractions.
GCF of 483,442,135 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 35,40,548
2 | 35, 40, 548 |
2 | 35, 20, 274 |
5 | 35, 10, 137 |
7, 2, 137 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 2 x 137 = 38360
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 35,40,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,40,548) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(35,40,548) x common factors =1 x 20 = 20
LCM(35,40,548) = ( 35 × 40 × 548 ) / 20
LCM(35,40,548) = 767200 / 20
LCM(35,40,548) = 38360
Lets's calculate GCF of 483,442,135
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38360/1
Therefore the LCM of Fractions 35/483,40/442,548/135 is 38360
Factors of 483
List of positive integer factors of 483 that divides 483 without a remainder.
1,3,7,21,23,69,161,483
Factors of 442
List of positive integer factors of 442 that divides 442 without a remainder.
1,2,13,17,26,34,221,442
Factors of 135
List of positive integer factors of 135 that divides 135 without a remainder.
1,3,5,9,15,27,45,135
Greatest Common Factor
We found the factors 483,442,135 . The biggest common factor number is the GCF number.
So the greatest common factor 483,442,135 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 35/483, 40/442, 548/135?
Answer: LCM of Numerators as per given numbers 35/483, 40/442, 548/135 is
LCM of Numerators i.e. for 35,40,548 is 38360
GCF of denominators i.e. for 483,442,135 is 1.
Thus, LCM of Fractions is 38360.Finally, LCM of Fractions for 35/483, 40/442, 548/135 is 38360.