Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6022/342, 2455/8629 quickly i.e. 14784010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6022/342, 2455/8629 is 14784010.
LCM(6022/342, 2455/8629) = 14784010
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6022/342,2455/8629
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 6022,2455
Least Common Multiple of Numerators i.e. LCM of 6022,2455 is 14784010.
GCF of Denominators means GCF of 342,8629 as per the given fractions.
GCF of 342,8629 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6022,2455
Given numbers has no common factors except 1. So, there LCM is their product i.e 14784010
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 6022,2455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6022,2455) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6022,2455) x common factors =1 x 1 = 1
LCM(6022,2455) = ( 6022 × 2455 ) / 1
LCM(6022,2455) = 14784010 / 1
LCM(6022,2455) = 14784010
Lets's calculate GCF of 342,8629
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14784010/1
Therefore the LCM of Fractions 6022/342,2455/8629 is 14784010
Factors of 342
List of positive integer factors of 342 that divides 342 without a remainder.
1,2,3,6,9,18,19,38,57,114,171,342
Factors of 8629
List of positive integer factors of 8629 that divides 8629 without a remainder.
1,8629
Greatest Common Factor
We found the factors 342,8629 . The biggest common factor number is the GCF number.
So the greatest common factor 342,8629 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 6022/342, 2455/8629?
Answer: LCM of Numerators as per given numbers 6022/342, 2455/8629 is
LCM of Numerators i.e. for 6022,2455 is 14784010
GCF of denominators i.e. for 342,8629 is 1.
Thus, LCM of Fractions is 14784010.Finally, LCM of Fractions for 6022/342, 2455/8629 is 14784010.