Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6495/179, 6446/5287 quickly i.e. 41866770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6495/179, 6446/5287 is 41866770.
LCM(6495/179, 6446/5287) = 41866770
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6495/179,6446/5287
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 6495,6446
Least Common Multiple of Numerators i.e. LCM of 6495,6446 is 41866770.
GCF of Denominators means GCF of 179,5287 as per the given fractions.
GCF of 179,5287 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6495,6446
Given numbers has no common factors except 1. So, there LCM is their product i.e 41866770
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 6495,6446 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6495,6446) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6495,6446) x common factors =1 x 1 = 1
LCM(6495,6446) = ( 6495 × 6446 ) / 1
LCM(6495,6446) = 41866770 / 1
LCM(6495,6446) = 41866770
Lets's calculate GCF of 179,5287
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41866770/1
Therefore the LCM of Fractions 6495/179,6446/5287 is 41866770
Factors of 179
List of positive integer factors of 179 that divides 179 without a remainder.
1,179
Factors of 5287
List of positive integer factors of 5287 that divides 5287 without a remainder.
1,17,311,5287
Greatest Common Factor
We found the factors 179,5287 . The biggest common factor number is the GCF number.
So the greatest common factor 179,5287 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 6495/179, 6446/5287?
Answer: LCM of Numerators as per given numbers 6495/179, 6446/5287 is
LCM of Numerators i.e. for 6495,6446 is 41866770
GCF of denominators i.e. for 179,5287 is 1.
Thus, LCM of Fractions is 41866770.Finally, LCM of Fractions for 6495/179, 6446/5287 is 41866770.