Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 491/712, 657/845, 957/777 quickly i.e. 102905253 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 491/712, 657/845, 957/777 is 102905253.
LCM(491/712, 657/845, 957/777) = 102905253
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 491/712,657/845,957/777
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 491,657,957
Least Common Multiple of Numerators i.e. LCM of 491,657,957 is 102905253.
GCF of Denominators means GCF of 712,845,777 as per the given fractions.
GCF of 712,845,777 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 491,657,957
3 | 491, 657, 957 |
491, 219, 319 |
∴ So the LCM of the given numbers is 3 x 491 x 219 x 319 = 102905253
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 491,657,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(491,657,957) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(491,657,957) x common factors =1 x 3 = 3
LCM(491,657,957) = ( 491 × 657 × 957 ) / 3
LCM(491,657,957) = 308715759 / 3
LCM(491,657,957) = 102905253
Lets's calculate GCF of 712,845,777
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102905253/1
Therefore the LCM of Fractions 491/712,657/845,957/777 is 102905253
Factors of 712
List of positive integer factors of 712 that divides 712 without a remainder.
1,2,4,8,89,178,356,712
Factors of 845
List of positive integer factors of 845 that divides 845 without a remainder.
1,5,13,65,169,845
Factors of 777
List of positive integer factors of 777 that divides 777 without a remainder.
1,3,7,21,37,111,259,777
Greatest Common Factor
We found the factors 712,845,777 . The biggest common factor number is the GCF number.
So the greatest common factor 712,845,777 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 491/712, 657/845, 957/777?
Answer: LCM of Numerators as per given numbers 491/712, 657/845, 957/777 is
LCM of Numerators i.e. for 491,657,957 is 102905253
GCF of denominators i.e. for 712,845,777 is 1.
Thus, LCM of Fractions is 102905253.Finally, LCM of Fractions for 491/712, 657/845, 957/777 is 102905253.