Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 109/51, 346/347 quickly i.e. 37714 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 109/51, 346/347 is 37714.
LCM(109/51, 346/347) = 37714
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 109/51,346/347
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 109,346
Least Common Multiple of Numerators i.e. LCM of 109,346 is 37714.
GCF of Denominators means GCF of 51,347 as per the given fractions.
GCF of 51,347 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 109,346
Given numbers has no common factors except 1. So, there LCM is their product i.e 37714
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 109,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(109,346) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(109,346) x common factors =1 x 1 = 1
LCM(109,346) = ( 109 × 346 ) / 1
LCM(109,346) = 37714 / 1
LCM(109,346) = 37714
Lets's calculate GCF of 51,347
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37714/1
Therefore the LCM of Fractions 109/51,346/347 is 37714
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 347
List of positive integer factors of 347 that divides 347 without a remainder.
1,347
Greatest Common Factor
We found the factors 51,347 . The biggest common factor number is the GCF number.
So the greatest common factor 51,347 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 109/51, 346/347?
Answer: LCM of Numerators as per given numbers 109/51, 346/347 is
LCM of Numerators i.e. for 109,346 is 37714
GCF of denominators i.e. for 51,347 is 1.
Thus, LCM of Fractions is 37714.Finally, LCM of Fractions for 109/51, 346/347 is 37714.