Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 342/32, 9861/656 quickly i.e. 59166/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 342/32, 9861/656 is 59166/16.
LCM(342/32, 9861/656) = 59166/16
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 342/32,9861/656
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 342,9861
Least Common Multiple of Numerators i.e. LCM of 342,9861 is 59166.
GCF of Denominators means GCF of 32,656 as per the given fractions.
GCF of 32,656 is 16 as it is the largest common factor for these numbers.
Lets's calculate LCM of 342,9861
3 | 342, 9861 |
19 | 114, 3287 |
6, 173 |
∴ So the LCM of the given numbers is 3 x 19 x 6 x 173 = 59166
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 342,9861 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,9861) = 57
common factors(in case of two or more numbers have common factors) = 1
GCF(342,9861) x common factors =57 x 1 = 57
LCM(342,9861) = ( 342 × 9861 ) / 57
LCM(342,9861) = 3372462 / 57
LCM(342,9861) = 59166
Lets's calculate GCF of 32,656
2 | 32, 656 |
2 | 16, 328 |
2 | 8, 164 |
2 | 4, 82 |
2, 41 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59166/16
Therefore the LCM of Fractions 342/32,9861/656 is 59166/16
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
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
Greatest Common Factor
We found the factors 32,656 . The biggest common factor number is the GCF number.
So the greatest common factor 32,656 is 16.
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 342/32, 9861/656?
Answer: LCM of Numerators as per given numbers 342/32, 9861/656 is
LCM of Numerators i.e. for 342,9861 is 59166
GCF of denominators i.e. for 32,656 is 16.
Thus, LCM of Fractions is 59166/16.Finally, LCM of Fractions for 342/32, 9861/656 is 59166/16.