Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 736/73, 914/43, 797/332 quickly i.e. 268072544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 736/73, 914/43, 797/332 is 268072544.
LCM(736/73, 914/43, 797/332) = 268072544
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 736/73,914/43,797/332
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 736,914,797
Least Common Multiple of Numerators i.e. LCM of 736,914,797 is 268072544.
GCF of Denominators means GCF of 73,43,332 as per the given fractions.
GCF of 73,43,332 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 736,914,797
2 | 736, 914, 797 |
368, 457, 797 |
∴ So the LCM of the given numbers is 2 x 368 x 457 x 797 = 268072544
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 736,914,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(736,914,797) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(736,914,797) x common factors =1 x 2 = 2
LCM(736,914,797) = ( 736 × 914 × 797 ) / 2
LCM(736,914,797) = 536145088 / 2
LCM(736,914,797) = 268072544
Lets's calculate GCF of 73,43,332
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 268072544/1
Therefore the LCM of Fractions 736/73,914/43,797/332 is 268072544
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 332
List of positive integer factors of 332 that divides 332 without a remainder.
1,2,4,83,166,332
Greatest Common Factor
We found the factors 73,43,332 . The biggest common factor number is the GCF number.
So the greatest common factor 73,43,332 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 736/73, 914/43, 797/332?
Answer: LCM of Numerators as per given numbers 736/73, 914/43, 797/332 is
LCM of Numerators i.e. for 736,914,797 is 268072544
GCF of denominators i.e. for 73,43,332 is 1.
Thus, LCM of Fractions is 268072544.Finally, LCM of Fractions for 736/73, 914/43, 797/332 is 268072544.