Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2508/486, 6416/133 quickly i.e. 4022832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2508/486, 6416/133 is 4022832.
LCM(2508/486, 6416/133) = 4022832
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2508/486,6416/133
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 2508,6416
Least Common Multiple of Numerators i.e. LCM of 2508,6416 is 4022832.
GCF of Denominators means GCF of 486,133 as per the given fractions.
GCF of 486,133 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2508,6416
2 | 2508, 6416 |
2 | 1254, 3208 |
627, 1604 |
∴ So the LCM of the given numbers is 2 x 2 x 627 x 1604 = 4022832
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 2508,6416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2508,6416) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(2508,6416) x common factors =4 x 1 = 4
LCM(2508,6416) = ( 2508 × 6416 ) / 4
LCM(2508,6416) = 16091328 / 4
LCM(2508,6416) = 4022832
Lets's calculate GCF of 486,133
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4022832/1
Therefore the LCM of Fractions 2508/486,6416/133 is 4022832
Factors of 486
List of positive integer factors of 486 that divides 486 without a remainder.
1,2,3,6,9,18,27,54,81,162,243,486
Factors of 133
List of positive integer factors of 133 that divides 133 without a remainder.
1,7,19,133
Greatest Common Factor
We found the factors 486,133 . The biggest common factor number is the GCF number.
So the greatest common factor 486,133 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 2508/486, 6416/133?
Answer: LCM of Numerators as per given numbers 2508/486, 6416/133 is
LCM of Numerators i.e. for 2508,6416 is 4022832
GCF of denominators i.e. for 486,133 is 1.
Thus, LCM of Fractions is 4022832.Finally, LCM of Fractions for 2508/486, 6416/133 is 4022832.