Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 254/794, 571/706 quickly i.e. 72517 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 254/794, 571/706 is 72517.
LCM(254/794, 571/706) = 72517
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 254/794,571/706
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 254,571
Least Common Multiple of Numerators i.e. LCM of 254,571 is 145034.
GCF of Denominators means GCF of 794,706 as per the given fractions.
GCF of 794,706 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 254,571
Given numbers has no common factors except 1. So, there LCM is their product i.e 145034
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 254,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,571) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(254,571) x common factors =1 x 1 = 1
LCM(254,571) = ( 254 × 571 ) / 1
LCM(254,571) = 145034 / 1
LCM(254,571) = 145034
Lets's calculate GCF of 794,706
2 | 794, 706 |
397, 353 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145034/2
Therefore the LCM of Fractions 254/794,571/706 is 72517
Factors of 794
List of positive integer factors of 794 that divides 794 without a remainder.
1,2,397,794
Factors of 706
List of positive integer factors of 706 that divides 706 without a remainder.
1,2,353,706
Greatest Common Factor
We found the factors 794,706 . The biggest common factor number is the GCF number.
So the greatest common factor 794,706 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 254/794, 571/706?
Answer: LCM of Numerators as per given numbers 254/794, 571/706 is
LCM of Numerators i.e. for 254,571 is 145034
GCF of denominators i.e. for 794,706 is 2.
Thus, LCM of Fractions is 72517.Finally, LCM of Fractions for 254/794, 571/706 is 72517.