Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 71/978, 49/521, 717/802 quickly i.e. 2494443 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 71/978, 49/521, 717/802 is 2494443.
LCM(71/978, 49/521, 717/802) = 2494443
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 71/978,49/521,717/802
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 71,49,717
Least Common Multiple of Numerators i.e. LCM of 71,49,717 is 2494443.
GCF of Denominators means GCF of 978,521,802 as per the given fractions.
GCF of 978,521,802 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 71,49,717
Given numbers has no common factors except 1. So, there LCM is their product i.e 2494443
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 71,49,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,49,717) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,49,717) x common factors =1 x 1 = 1
LCM(71,49,717) = ( 71 × 49 × 717 ) / 1
LCM(71,49,717) = 2494443 / 1
LCM(71,49,717) = 2494443
Lets's calculate GCF of 978,521,802
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2494443/1
Therefore the LCM of Fractions 71/978,49/521,717/802 is 2494443
Factors of 978
List of positive integer factors of 978 that divides 978 without a remainder.
1,2,3,6,163,326,489,978
Factors of 521
List of positive integer factors of 521 that divides 521 without a remainder.
1,521
Factors of 802
List of positive integer factors of 802 that divides 802 without a remainder.
1,2,401,802
Greatest Common Factor
We found the factors 978,521,802 . The biggest common factor number is the GCF number.
So the greatest common factor 978,521,802 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 71/978, 49/521, 717/802?
Answer: LCM of Numerators as per given numbers 71/978, 49/521, 717/802 is
LCM of Numerators i.e. for 71,49,717 is 2494443
GCF of denominators i.e. for 978,521,802 is 1.
Thus, LCM of Fractions is 2494443.Finally, LCM of Fractions for 71/978, 49/521, 717/802 is 2494443.