Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2921/687, 9832/337 quickly i.e. 28719272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2921/687, 9832/337 is 28719272.
LCM(2921/687, 9832/337) = 28719272
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2921/687,9832/337
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 2921,9832
Least Common Multiple of Numerators i.e. LCM of 2921,9832 is 28719272.
GCF of Denominators means GCF of 687,337 as per the given fractions.
GCF of 687,337 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2921,9832
Given numbers has no common factors except 1. So, there LCM is their product i.e 28719272
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 2921,9832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2921,9832) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2921,9832) x common factors =1 x 1 = 1
LCM(2921,9832) = ( 2921 × 9832 ) / 1
LCM(2921,9832) = 28719272 / 1
LCM(2921,9832) = 28719272
Lets's calculate GCF of 687,337
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28719272/1
Therefore the LCM of Fractions 2921/687,9832/337 is 28719272
Factors of 687
List of positive integer factors of 687 that divides 687 without a remainder.
1,3,229,687
Factors of 337
List of positive integer factors of 337 that divides 337 without a remainder.
1,337
Greatest Common Factor
We found the factors 687,337 . The biggest common factor number is the GCF number.
So the greatest common factor 687,337 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 2921/687, 9832/337?
Answer: LCM of Numerators as per given numbers 2921/687, 9832/337 is
LCM of Numerators i.e. for 2921,9832 is 28719272
GCF of denominators i.e. for 687,337 is 1.
Thus, LCM of Fractions is 28719272.Finally, LCM of Fractions for 2921/687, 9832/337 is 28719272.