Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/34, 16/36, 51/14, 21/768 quickly i.e. 88536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/34, 16/36, 51/14, 21/768 is 88536.
LCM(62/34, 16/36, 51/14, 21/768) = 88536
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/34,16/36,51/14,21/768
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 62,16,51,21
Least Common Multiple of Numerators i.e. LCM of 62,16,51,21 is 177072.
GCF of Denominators means GCF of 34,36,14,768 as per the given fractions.
GCF of 34,36,14,768 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,16,51,21
2 | 62, 16, 51, 21 |
3 | 31, 8, 51, 21 |
31, 8, 17, 7 |
∴ So the LCM of the given numbers is 2 x 3 x 31 x 8 x 17 x 7 = 177072
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 62,16,51,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,16,51,21) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(62,16,51,21) x common factors =1 x 6 = 6
LCM(62,16,51,21) = ( 62 × 16 × 51 × 21 ) / 6
LCM(62,16,51,21) = 1062432 / 6
LCM(62,16,51,21) = 177072
Lets's calculate GCF of 34,36,14,768
2 | 34, 36, 14, 768 |
17, 18, 7, 384 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 177072/2
Therefore the LCM of Fractions 62/34,16/36,51/14,21/768 is 88536
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 768
List of positive integer factors of 768 that divides 768 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768
Greatest Common Factor
We found the factors 34,36,14,768 . The biggest common factor number is the GCF number.
So the greatest common factor 34,36,14,768 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 62/34, 16/36, 51/14, 21/768?
Answer: LCM of Numerators as per given numbers 62/34, 16/36, 51/14, 21/768 is
LCM of Numerators i.e. for 62,16,51,21 is 177072
GCF of denominators i.e. for 34,36,14,768 is 2.
Thus, LCM of Fractions is 88536.Finally, LCM of Fractions for 62/34, 16/36, 51/14, 21/768 is 88536.