Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9277/319, 1687/2667 quickly i.e. 15650299 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9277/319, 1687/2667 is 15650299.
LCM(9277/319, 1687/2667) = 15650299
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9277/319,1687/2667
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 9277,1687
Least Common Multiple of Numerators i.e. LCM of 9277,1687 is 15650299.
GCF of Denominators means GCF of 319,2667 as per the given fractions.
GCF of 319,2667 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9277,1687
Given numbers has no common factors except 1. So, there LCM is their product i.e 15650299
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 9277,1687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9277,1687) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9277,1687) x common factors =1 x 1 = 1
LCM(9277,1687) = ( 9277 × 1687 ) / 1
LCM(9277,1687) = 15650299 / 1
LCM(9277,1687) = 15650299
Lets's calculate GCF of 319,2667
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15650299/1
Therefore the LCM of Fractions 9277/319,1687/2667 is 15650299
Factors of 319
List of positive integer factors of 319 that divides 319 without a remainder.
1,11,29,319
Factors of 2667
List of positive integer factors of 2667 that divides 2667 without a remainder.
1,3,7,21,127,381,889,2667
Greatest Common Factor
We found the factors 319,2667 . The biggest common factor number is the GCF number.
So the greatest common factor 319,2667 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 9277/319, 1687/2667?
Answer: LCM of Numerators as per given numbers 9277/319, 1687/2667 is
LCM of Numerators i.e. for 9277,1687 is 15650299
GCF of denominators i.e. for 319,2667 is 1.
Thus, LCM of Fractions is 15650299.Finally, LCM of Fractions for 9277/319, 1687/2667 is 15650299.