Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 16/14, 52/84, 326/252 quickly i.e. 33904/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 16/14, 52/84, 326/252 is 33904/14.
LCM(16/14, 52/84, 326/252) = 33904/14
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 16/14,52/84,326/252
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 16,52,326
Least Common Multiple of Numerators i.e. LCM of 16,52,326 is 33904.
GCF of Denominators means GCF of 14,84,252 as per the given fractions.
GCF of 14,84,252 is 14 as it is the largest common factor for these numbers.
Lets's calculate LCM of 16,52,326
2 | 16, 52, 326 |
2 | 8, 26, 163 |
4, 13, 163 |
∴ So the LCM of the given numbers is 2 x 2 x 4 x 13 x 163 = 33904
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 16,52,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,52,326) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(16,52,326) x common factors =2 x 4 = 8
LCM(16,52,326) = ( 16 × 52 × 326 ) / 8
LCM(16,52,326) = 271232 / 8
LCM(16,52,326) = 33904
Lets's calculate GCF of 14,84,252
2 | 14, 84, 252 |
7 | 7, 42, 126 |
1, 6, 18 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33904/14
Therefore the LCM of Fractions 16/14,52/84,326/252 is 33904/14
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 252
List of positive integer factors of 252 that divides 252 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252
Greatest Common Factor
We found the factors 14,84,252 . The biggest common factor number is the GCF number.
So the greatest common factor 14,84,252 is 14.
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 16/14, 52/84, 326/252?
Answer: LCM of Numerators as per given numbers 16/14, 52/84, 326/252 is
LCM of Numerators i.e. for 16,52,326 is 33904
GCF of denominators i.e. for 14,84,252 is 14.
Thus, LCM of Fractions is 33904/14.Finally, LCM of Fractions for 16/14, 52/84, 326/252 is 33904/14.