Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 547/677, 8645/677 quickly i.e. 4728815/677 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 547/677, 8645/677 is 4728815/677.
LCM(547/677, 8645/677) = 4728815/677
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 547/677,8645/677
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 547,8645
Least Common Multiple of Numerators i.e. LCM of 547,8645 is 4728815.
GCF of Denominators means GCF of 677,677 as per the given fractions.
GCF of 677,677 is 677 as it is the largest common factor for these numbers.
Lets's calculate LCM of 547,8645
Given numbers has no common factors except 1. So, there LCM is their product i.e 4728815
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 547,8645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(547,8645) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(547,8645) x common factors =1 x 1 = 1
LCM(547,8645) = ( 547 × 8645 ) / 1
LCM(547,8645) = 4728815 / 1
LCM(547,8645) = 4728815
Lets's calculate GCF of 677,677
677 | 677, 677 |
1, 1 |
∴ So the GCF of the given numbers is 677 = 677
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4728815/677
Therefore the LCM of Fractions 547/677,8645/677 is 4728815/677
Factors of 677
List of positive integer factors of 677 that divides 677 without a remainder.
1,677
Factors of 677
List of positive integer factors of 677 that divides 677 without a remainder.
1,677
Greatest Common Factor
We found the factors 677,677 . The biggest common factor number is the GCF number.
So the greatest common factor 677,677 is 677.
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 547/677, 8645/677?
Answer: LCM of Numerators as per given numbers 547/677, 8645/677 is
LCM of Numerators i.e. for 547,8645 is 4728815
GCF of denominators i.e. for 677,677 is 677.
Thus, LCM of Fractions is 4728815/677.Finally, LCM of Fractions for 547/677, 8645/677 is 4728815/677.