Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6652/656, 7407/8062 quickly i.e. 24635682 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6652/656, 7407/8062 is 24635682.
LCM(6652/656, 7407/8062) = 24635682
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6652/656,7407/8062
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 6652,7407
Least Common Multiple of Numerators i.e. LCM of 6652,7407 is 49271364.
GCF of Denominators means GCF of 656,8062 as per the given fractions.
GCF of 656,8062 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6652,7407
Given numbers has no common factors except 1. So, there LCM is their product i.e 49271364
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 6652,7407 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6652,7407) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6652,7407) x common factors =1 x 1 = 1
LCM(6652,7407) = ( 6652 × 7407 ) / 1
LCM(6652,7407) = 49271364 / 1
LCM(6652,7407) = 49271364
Lets's calculate GCF of 656,8062
2 | 656, 8062 |
328, 4031 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49271364/2
Therefore the LCM of Fractions 6652/656,7407/8062 is 24635682
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 8062
List of positive integer factors of 8062 that divides 8062 without a remainder.
1,2,29,58,139,278,4031,8062
Greatest Common Factor
We found the factors 656,8062 . The biggest common factor number is the GCF number.
So the greatest common factor 656,8062 is 2.
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 6652/656, 7407/8062?
Answer: LCM of Numerators as per given numbers 6652/656, 7407/8062 is
LCM of Numerators i.e. for 6652,7407 is 49271364
GCF of denominators i.e. for 656,8062 is 2.
Thus, LCM of Fractions is 24635682.Finally, LCM of Fractions for 6652/656, 7407/8062 is 24635682.