Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 68/779, 775/308, 463/977 quickly i.e. 24400100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 68/779, 775/308, 463/977 is 24400100.
LCM(68/779, 775/308, 463/977) = 24400100
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 68/779,775/308,463/977
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 68,775,463
Least Common Multiple of Numerators i.e. LCM of 68,775,463 is 24400100.
GCF of Denominators means GCF of 779,308,977 as per the given fractions.
GCF of 779,308,977 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 68,775,463
Given numbers has no common factors except 1. So, there LCM is their product i.e 24400100
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 68,775,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,775,463) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(68,775,463) x common factors =1 x 1 = 1
LCM(68,775,463) = ( 68 × 775 × 463 ) / 1
LCM(68,775,463) = 24400100 / 1
LCM(68,775,463) = 24400100
Lets's calculate GCF of 779,308,977
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24400100/1
Therefore the LCM of Fractions 68/779,775/308,463/977 is 24400100
Factors of 779
List of positive integer factors of 779 that divides 779 without a remainder.
1,19,41,779
Factors of 308
List of positive integer factors of 308 that divides 308 without a remainder.
1,2,4,7,11,14,22,28,44,77,154,308
Factors of 977
List of positive integer factors of 977 that divides 977 without a remainder.
1,977
Greatest Common Factor
We found the factors 779,308,977 . The biggest common factor number is the GCF number.
So the greatest common factor 779,308,977 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 68/779, 775/308, 463/977?
Answer: LCM of Numerators as per given numbers 68/779, 775/308, 463/977 is
LCM of Numerators i.e. for 68,775,463 is 24400100
GCF of denominators i.e. for 779,308,977 is 1.
Thus, LCM of Fractions is 24400100.Finally, LCM of Fractions for 68/779, 775/308, 463/977 is 24400100.