Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3428/77, 5177/777 quickly i.e. 17746756/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3428/77, 5177/777 is 17746756/7.
LCM(3428/77, 5177/777) = 17746756/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3428/77,5177/777
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 3428,5177
Least Common Multiple of Numerators i.e. LCM of 3428,5177 is 17746756.
GCF of Denominators means GCF of 77,777 as per the given fractions.
GCF of 77,777 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3428,5177
Given numbers has no common factors except 1. So, there LCM is their product i.e 17746756
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 3428,5177 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3428,5177) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3428,5177) x common factors =1 x 1 = 1
LCM(3428,5177) = ( 3428 × 5177 ) / 1
LCM(3428,5177) = 17746756 / 1
LCM(3428,5177) = 17746756
Lets's calculate GCF of 77,777
7 | 77, 777 |
11, 111 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17746756/7
Therefore the LCM of Fractions 3428/77,5177/777 is 17746756/7
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
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 77,777 . The biggest common factor number is the GCF number.
So the greatest common factor 77,777 is 7.
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 3428/77, 5177/777?
Answer: LCM of Numerators as per given numbers 3428/77, 5177/777 is
LCM of Numerators i.e. for 3428,5177 is 17746756
GCF of denominators i.e. for 77,777 is 7.
Thus, LCM of Fractions is 17746756/7.Finally, LCM of Fractions for 3428/77, 5177/777 is 17746756/7.