Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6385/225, 4922/658 quickly i.e. 31426970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6385/225, 4922/658 is 31426970.
LCM(6385/225, 4922/658) = 31426970
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6385/225,4922/658
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 6385,4922
Least Common Multiple of Numerators i.e. LCM of 6385,4922 is 31426970.
GCF of Denominators means GCF of 225,658 as per the given fractions.
GCF of 225,658 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6385,4922
Given numbers has no common factors except 1. So, there LCM is their product i.e 31426970
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 6385,4922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6385,4922) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6385,4922) x common factors =1 x 1 = 1
LCM(6385,4922) = ( 6385 × 4922 ) / 1
LCM(6385,4922) = 31426970 / 1
LCM(6385,4922) = 31426970
Lets's calculate GCF of 225,658
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31426970/1
Therefore the LCM of Fractions 6385/225,4922/658 is 31426970
Factors of 225
List of positive integer factors of 225 that divides 225 without a remainder.
1,3,5,9,15,25,45,75,225
Factors of 658
List of positive integer factors of 658 that divides 658 without a remainder.
1,2,7,14,47,94,329,658
Greatest Common Factor
We found the factors 225,658 . The biggest common factor number is the GCF number.
So the greatest common factor 225,658 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 6385/225, 4922/658?
Answer: LCM of Numerators as per given numbers 6385/225, 4922/658 is
LCM of Numerators i.e. for 6385,4922 is 31426970
GCF of denominators i.e. for 225,658 is 1.
Thus, LCM of Fractions is 31426970.Finally, LCM of Fractions for 6385/225, 4922/658 is 31426970.