Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 633/138, 2532/6146 quickly i.e. 1266 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 633/138, 2532/6146 is 1266.
LCM(633/138, 2532/6146) = 1266
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 633/138,2532/6146
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 633,2532
Least Common Multiple of Numerators i.e. LCM of 633,2532 is 2532.
GCF of Denominators means GCF of 138,6146 as per the given fractions.
GCF of 138,6146 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 633,2532
3 | 633, 2532 |
211 | 211, 844 |
1, 4 |
∴ So the LCM of the given numbers is 3 x 211 x 1 x 4 = 2532
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 633,2532 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(633,2532) = 633
common factors(in case of two or more numbers have common factors) = 1
GCF(633,2532) x common factors =633 x 1 = 633
LCM(633,2532) = ( 633 × 2532 ) / 633
LCM(633,2532) = 1602756 / 633
LCM(633,2532) = 2532
Lets's calculate GCF of 138,6146
2 | 138, 6146 |
69, 3073 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2532/2
Therefore the LCM of Fractions 633/138,2532/6146 is 1266
Factors of 138
List of positive integer factors of 138 that divides 138 without a remainder.
1,2,3,6,23,46,69,138
Factors of 6146
List of positive integer factors of 6146 that divides 6146 without a remainder.
1,2,7,14,439,878,3073,6146
Greatest Common Factor
We found the factors 138,6146 . The biggest common factor number is the GCF number.
So the greatest common factor 138,6146 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 633/138, 2532/6146?
Answer: LCM of Numerators as per given numbers 633/138, 2532/6146 is
LCM of Numerators i.e. for 633,2532 is 2532
GCF of denominators i.e. for 138,6146 is 2.
Thus, LCM of Fractions is 1266.Finally, LCM of Fractions for 633/138, 2532/6146 is 1266.