Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 52/747, 62/133, 313/669 quickly i.e. 504556 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 52/747, 62/133, 313/669 is 504556.
LCM(52/747, 62/133, 313/669) = 504556
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 52/747,62/133,313/669
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 52,62,313
Least Common Multiple of Numerators i.e. LCM of 52,62,313 is 504556.
GCF of Denominators means GCF of 747,133,669 as per the given fractions.
GCF of 747,133,669 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 52,62,313
2 | 52, 62, 313 |
26, 31, 313 |
∴ So the LCM of the given numbers is 2 x 26 x 31 x 313 = 504556
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 52,62,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,62,313) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(52,62,313) x common factors =1 x 2 = 2
LCM(52,62,313) = ( 52 × 62 × 313 ) / 2
LCM(52,62,313) = 1009112 / 2
LCM(52,62,313) = 504556
Lets's calculate GCF of 747,133,669
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 504556/1
Therefore the LCM of Fractions 52/747,62/133,313/669 is 504556
Factors of 747
List of positive integer factors of 747 that divides 747 without a remainder.
1,3,9,83,249,747
Factors of 133
List of positive integer factors of 133 that divides 133 without a remainder.
1,7,19,133
Factors of 669
List of positive integer factors of 669 that divides 669 without a remainder.
1,3,223,669
Greatest Common Factor
We found the factors 747,133,669 . The biggest common factor number is the GCF number.
So the greatest common factor 747,133,669 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 52/747, 62/133, 313/669?
Answer: LCM of Numerators as per given numbers 52/747, 62/133, 313/669 is
LCM of Numerators i.e. for 52,62,313 is 504556
GCF of denominators i.e. for 747,133,669 is 1.
Thus, LCM of Fractions is 504556.Finally, LCM of Fractions for 52/747, 62/133, 313/669 is 504556.