Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 968/21, 927/3417 quickly i.e. 299112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 968/21, 927/3417 is 299112.
LCM(968/21, 927/3417) = 299112
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 968/21,927/3417
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 968,927
Least Common Multiple of Numerators i.e. LCM of 968,927 is 897336.
GCF of Denominators means GCF of 21,3417 as per the given fractions.
GCF of 21,3417 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 968,927
Given numbers has no common factors except 1. So, there LCM is their product i.e 897336
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 968,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(968,927) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(968,927) x common factors =1 x 1 = 1
LCM(968,927) = ( 968 × 927 ) / 1
LCM(968,927) = 897336 / 1
LCM(968,927) = 897336
Lets's calculate GCF of 21,3417
3 | 21, 3417 |
7, 1139 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 897336/3
Therefore the LCM of Fractions 968/21,927/3417 is 299112
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 3417
List of positive integer factors of 3417 that divides 3417 without a remainder.
1,3,17,51,67,201,1139,3417
Greatest Common Factor
We found the factors 21,3417 . The biggest common factor number is the GCF number.
So the greatest common factor 21,3417 is 3.
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 968/21, 927/3417?
Answer: LCM of Numerators as per given numbers 968/21, 927/3417 is
LCM of Numerators i.e. for 968,927 is 897336
GCF of denominators i.e. for 21,3417 is 3.
Thus, LCM of Fractions is 299112.Finally, LCM of Fractions for 968/21, 927/3417 is 299112.