Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2/14, 996/12, 538/18 quickly i.e. 133962 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2/14, 996/12, 538/18 is 133962.
LCM(2/14, 996/12, 538/18) = 133962
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2/14,996/12,538/18
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 2,996,538
Least Common Multiple of Numerators i.e. LCM of 2,996,538 is 267924.
GCF of Denominators means GCF of 14,12,18 as per the given fractions.
GCF of 14,12,18 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2,996,538
2 | 2, 996, 538 |
1, 498, 269 |
∴ So the LCM of the given numbers is 2 x 1 x 498 x 269 = 267924
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 2,996,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2,996,538) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(2,996,538) x common factors =2 x 2 = 4
LCM(2,996,538) = ( 2 × 996 × 538 ) / 4
LCM(2,996,538) = 1071696 / 4
LCM(2,996,538) = 267924
Lets's calculate GCF of 14,12,18
2 | 14, 12, 18 |
7, 6, 9 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 267924/2
Therefore the LCM of Fractions 2/14,996/12,538/18 is 133962
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Greatest Common Factor
We found the factors 14,12,18 . The biggest common factor number is the GCF number.
So the greatest common factor 14,12,18 is 2.
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 2/14, 996/12, 538/18?
Answer: LCM of Numerators as per given numbers 2/14, 996/12, 538/18 is
LCM of Numerators i.e. for 2,996,538 is 267924
GCF of denominators i.e. for 14,12,18 is 2.
Thus, LCM of Fractions is 133962.Finally, LCM of Fractions for 2/14, 996/12, 538/18 is 133962.