Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 345/14, 957/6417 quickly i.e. 110055 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 345/14, 957/6417 is 110055.
LCM(345/14, 957/6417) = 110055
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 345/14,957/6417
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 345,957
Least Common Multiple of Numerators i.e. LCM of 345,957 is 110055.
GCF of Denominators means GCF of 14,6417 as per the given fractions.
GCF of 14,6417 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 345,957
3 | 345, 957 |
115, 319 |
∴ So the LCM of the given numbers is 3 x 115 x 319 = 110055
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 345,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(345,957) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(345,957) x common factors =3 x 1 = 3
LCM(345,957) = ( 345 × 957 ) / 3
LCM(345,957) = 330165 / 3
LCM(345,957) = 110055
Lets's calculate GCF of 14,6417
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 110055/1
Therefore the LCM of Fractions 345/14,957/6417 is 110055
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 6417
List of positive integer factors of 6417 that divides 6417 without a remainder.
1,3,9,23,31,69,93,207,279,713,2139,6417
Greatest Common Factor
We found the factors 14,6417 . The biggest common factor number is the GCF number.
So the greatest common factor 14,6417 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 345/14, 957/6417?
Answer: LCM of Numerators as per given numbers 345/14, 957/6417 is
LCM of Numerators i.e. for 345,957 is 110055
GCF of denominators i.e. for 14,6417 is 1.
Thus, LCM of Fractions is 110055.Finally, LCM of Fractions for 345/14, 957/6417 is 110055.