Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 554/65, 798/39, 445/517 quickly i.e. 98365470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 554/65, 798/39, 445/517 is 98365470.
LCM(554/65, 798/39, 445/517) = 98365470
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 554/65,798/39,445/517
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 554,798,445
Least Common Multiple of Numerators i.e. LCM of 554,798,445 is 98365470.
GCF of Denominators means GCF of 65,39,517 as per the given fractions.
GCF of 65,39,517 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 554,798,445
2 | 554, 798, 445 |
277, 399, 445 |
∴ So the LCM of the given numbers is 2 x 277 x 399 x 445 = 98365470
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 554,798,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(554,798,445) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(554,798,445) x common factors =1 x 2 = 2
LCM(554,798,445) = ( 554 × 798 × 445 ) / 2
LCM(554,798,445) = 196730940 / 2
LCM(554,798,445) = 98365470
Lets's calculate GCF of 65,39,517
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98365470/1
Therefore the LCM of Fractions 554/65,798/39,445/517 is 98365470
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 517
List of positive integer factors of 517 that divides 517 without a remainder.
1,11,47,517
Greatest Common Factor
We found the factors 65,39,517 . The biggest common factor number is the GCF number.
So the greatest common factor 65,39,517 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 554/65, 798/39, 445/517?
Answer: LCM of Numerators as per given numbers 554/65, 798/39, 445/517 is
LCM of Numerators i.e. for 554,798,445 is 98365470
GCF of denominators i.e. for 65,39,517 is 1.
Thus, LCM of Fractions is 98365470.Finally, LCM of Fractions for 554/65, 798/39, 445/517 is 98365470.