Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/865, 6366/6379 quickly i.e. 490182 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/865, 6366/6379 is 490182.
LCM(77/865, 6366/6379) = 490182
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/865,6366/6379
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 77,6366
Least Common Multiple of Numerators i.e. LCM of 77,6366 is 490182.
GCF of Denominators means GCF of 865,6379 as per the given fractions.
GCF of 865,6379 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,6366
Given numbers has no common factors except 1. So, there LCM is their product i.e 490182
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 77,6366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,6366) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,6366) x common factors =1 x 1 = 1
LCM(77,6366) = ( 77 × 6366 ) / 1
LCM(77,6366) = 490182 / 1
LCM(77,6366) = 490182
Lets's calculate GCF of 865,6379
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 490182/1
Therefore the LCM of Fractions 77/865,6366/6379 is 490182
Factors of 865
List of positive integer factors of 865 that divides 865 without a remainder.
1,5,173,865
Factors of 6379
List of positive integer factors of 6379 that divides 6379 without a remainder.
1,6379
Greatest Common Factor
We found the factors 865,6379 . The biggest common factor number is the GCF number.
So the greatest common factor 865,6379 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 77/865, 6366/6379?
Answer: LCM of Numerators as per given numbers 77/865, 6366/6379 is
LCM of Numerators i.e. for 77,6366 is 490182
GCF of denominators i.e. for 865,6379 is 1.
Thus, LCM of Fractions is 490182.Finally, LCM of Fractions for 77/865, 6366/6379 is 490182.