Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6342/242, 8390/252 quickly i.e. 13302345 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6342/242, 8390/252 is 13302345.
LCM(6342/242, 8390/252) = 13302345
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6342/242,8390/252
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 6342,8390
Least Common Multiple of Numerators i.e. LCM of 6342,8390 is 26604690.
GCF of Denominators means GCF of 242,252 as per the given fractions.
GCF of 242,252 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6342,8390
2 | 6342, 8390 |
3171, 4195 |
∴ So the LCM of the given numbers is 2 x 3171 x 4195 = 26604690
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 6342,8390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6342,8390) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(6342,8390) x common factors =2 x 1 = 2
LCM(6342,8390) = ( 6342 × 8390 ) / 2
LCM(6342,8390) = 53209380 / 2
LCM(6342,8390) = 26604690
Lets's calculate GCF of 242,252
2 | 242, 252 |
121, 126 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26604690/2
Therefore the LCM of Fractions 6342/242,8390/252 is 13302345
Factors of 242
List of positive integer factors of 242 that divides 242 without a remainder.
1,2,11,22,121,242
Factors of 252
List of positive integer factors of 252 that divides 252 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252
Greatest Common Factor
We found the factors 242,252 . The biggest common factor number is the GCF number.
So the greatest common factor 242,252 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 6342/242, 8390/252?
Answer: LCM of Numerators as per given numbers 6342/242, 8390/252 is
LCM of Numerators i.e. for 6342,8390 is 26604690
GCF of denominators i.e. for 242,252 is 2.
Thus, LCM of Fractions is 13302345.Finally, LCM of Fractions for 6342/242, 8390/252 is 13302345.