Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 78/749, 52/798, 133/309 quickly i.e. 20748 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 78/749, 52/798, 133/309 is 20748.
LCM(78/749, 52/798, 133/309) = 20748
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 78/749,52/798,133/309
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 78,52,133
Least Common Multiple of Numerators i.e. LCM of 78,52,133 is 20748.
GCF of Denominators means GCF of 749,798,309 as per the given fractions.
GCF of 749,798,309 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 78,52,133
2 | 78, 52, 133 |
13 | 39, 26, 133 |
3, 2, 133 |
∴ So the LCM of the given numbers is 2 x 13 x 3 x 2 x 133 = 20748
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 78,52,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,52,133) = 1
common factors(in case of two or more numbers have common factors) = 26
GCF(78,52,133) x common factors =1 x 26 = 26
LCM(78,52,133) = ( 78 × 52 × 133 ) / 26
LCM(78,52,133) = 539448 / 26
LCM(78,52,133) = 20748
Lets's calculate GCF of 749,798,309
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20748/1
Therefore the LCM of Fractions 78/749,52/798,133/309 is 20748
Factors of 749
List of positive integer factors of 749 that divides 749 without a remainder.
1,7,107,749
Factors of 798
List of positive integer factors of 798 that divides 798 without a remainder.
1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798
Factors of 309
List of positive integer factors of 309 that divides 309 without a remainder.
1,3,103,309
Greatest Common Factor
We found the factors 749,798,309 . The biggest common factor number is the GCF number.
So the greatest common factor 749,798,309 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 78/749, 52/798, 133/309?
Answer: LCM of Numerators as per given numbers 78/749, 52/798, 133/309 is
LCM of Numerators i.e. for 78,52,133 is 20748
GCF of denominators i.e. for 749,798,309 is 1.
Thus, LCM of Fractions is 20748.Finally, LCM of Fractions for 78/749, 52/798, 133/309 is 20748.