Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 833/72, 514/5434 quickly i.e. 214081 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 833/72, 514/5434 is 214081.
LCM(833/72, 514/5434) = 214081
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 833/72,514/5434
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 833,514
Least Common Multiple of Numerators i.e. LCM of 833,514 is 428162.
GCF of Denominators means GCF of 72,5434 as per the given fractions.
GCF of 72,5434 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 833,514
Given numbers has no common factors except 1. So, there LCM is their product i.e 428162
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 833,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(833,514) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(833,514) x common factors =1 x 1 = 1
LCM(833,514) = ( 833 × 514 ) / 1
LCM(833,514) = 428162 / 1
LCM(833,514) = 428162
Lets's calculate GCF of 72,5434
2 | 72, 5434 |
36, 2717 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 428162/2
Therefore the LCM of Fractions 833/72,514/5434 is 214081
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 5434
List of positive integer factors of 5434 that divides 5434 without a remainder.
1,2,11,13,19,22,26,38,143,209,247,286,418,494,2717,5434
Greatest Common Factor
We found the factors 72,5434 . The biggest common factor number is the GCF number.
So the greatest common factor 72,5434 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 833/72, 514/5434?
Answer: LCM of Numerators as per given numbers 833/72, 514/5434 is
LCM of Numerators i.e. for 833,514 is 428162
GCF of denominators i.e. for 72,5434 is 2.
Thus, LCM of Fractions is 214081.Finally, LCM of Fractions for 833/72, 514/5434 is 214081.