Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 271/574, 787/694 quickly i.e. 213277/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 271/574, 787/694 is 213277/2.
LCM(271/574, 787/694) = 213277/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 271/574,787/694
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 271,787
Least Common Multiple of Numerators i.e. LCM of 271,787 is 213277.
GCF of Denominators means GCF of 574,694 as per the given fractions.
GCF of 574,694 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 271,787
Given numbers has no common factors except 1. So, there LCM is their product i.e 213277
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 271,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,787) x common factors =1 x 1 = 1
LCM(271,787) = ( 271 × 787 ) / 1
LCM(271,787) = 213277 / 1
LCM(271,787) = 213277
Lets's calculate GCF of 574,694
2 | 574, 694 |
287, 347 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 213277/2
Therefore the LCM of Fractions 271/574,787/694 is 213277/2
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Factors of 694
List of positive integer factors of 694 that divides 694 without a remainder.
1,2,347,694
Greatest Common Factor
We found the factors 574,694 . The biggest common factor number is the GCF number.
So the greatest common factor 574,694 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 271/574, 787/694?
Answer: LCM of Numerators as per given numbers 271/574, 787/694 is
LCM of Numerators i.e. for 271,787 is 213277
GCF of denominators i.e. for 574,694 is 2.
Thus, LCM of Fractions is 213277/2.Finally, LCM of Fractions for 271/574, 787/694 is 213277/2.