Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2023/537, 5145/8786 quickly i.e. 1486905 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2023/537, 5145/8786 is 1486905.
LCM(2023/537, 5145/8786) = 1486905
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2023/537,5145/8786
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 2023,5145
Least Common Multiple of Numerators i.e. LCM of 2023,5145 is 1486905.
GCF of Denominators means GCF of 537,8786 as per the given fractions.
GCF of 537,8786 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2023,5145
7 | 2023, 5145 |
289, 735 |
∴ So the LCM of the given numbers is 7 x 289 x 735 = 1486905
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 2023,5145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2023,5145) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(2023,5145) x common factors =7 x 1 = 7
LCM(2023,5145) = ( 2023 × 5145 ) / 7
LCM(2023,5145) = 10408335 / 7
LCM(2023,5145) = 1486905
Lets's calculate GCF of 537,8786
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1486905/1
Therefore the LCM of Fractions 2023/537,5145/8786 is 1486905
Factors of 537
List of positive integer factors of 537 that divides 537 without a remainder.
1,3,179,537
Factors of 8786
List of positive integer factors of 8786 that divides 8786 without a remainder.
1,2,23,46,191,382,4393,8786
Greatest Common Factor
We found the factors 537,8786 . The biggest common factor number is the GCF number.
So the greatest common factor 537,8786 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 2023/537, 5145/8786?
Answer: LCM of Numerators as per given numbers 2023/537, 5145/8786 is
LCM of Numerators i.e. for 2023,5145 is 1486905
GCF of denominators i.e. for 537,8786 is 1.
Thus, LCM of Fractions is 1486905.Finally, LCM of Fractions for 2023/537, 5145/8786 is 1486905.