Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6249/656, 2227/4645 quickly i.e. 13916523 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6249/656, 2227/4645 is 13916523.
LCM(6249/656, 2227/4645) = 13916523
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6249/656,2227/4645
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 6249,2227
Least Common Multiple of Numerators i.e. LCM of 6249,2227 is 13916523.
GCF of Denominators means GCF of 656,4645 as per the given fractions.
GCF of 656,4645 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6249,2227
Given numbers has no common factors except 1. So, there LCM is their product i.e 13916523
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 6249,2227 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6249,2227) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6249,2227) x common factors =1 x 1 = 1
LCM(6249,2227) = ( 6249 × 2227 ) / 1
LCM(6249,2227) = 13916523 / 1
LCM(6249,2227) = 13916523
Lets's calculate GCF of 656,4645
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13916523/1
Therefore the LCM of Fractions 6249/656,2227/4645 is 13916523
Factors of 656
List of positive integer factors of 656 that divides 656 without a remainder.
1,2,4,8,16,41,82,164,328,656
Factors of 4645
List of positive integer factors of 4645 that divides 4645 without a remainder.
1,5,929,4645
Greatest Common Factor
We found the factors 656,4645 . The biggest common factor number is the GCF number.
So the greatest common factor 656,4645 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 6249/656, 2227/4645?
Answer: LCM of Numerators as per given numbers 6249/656, 2227/4645 is
LCM of Numerators i.e. for 6249,2227 is 13916523
GCF of denominators i.e. for 656,4645 is 1.
Thus, LCM of Fractions is 13916523.Finally, LCM of Fractions for 6249/656, 2227/4645 is 13916523.