Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 96/77, 71/82, 88/51, 14/510 quickly i.e. 524832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 96/77, 71/82, 88/51, 14/510 is 524832.
LCM(96/77, 71/82, 88/51, 14/510) = 524832
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 96/77,71/82,88/51,14/510
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 96,71,88,14
Least Common Multiple of Numerators i.e. LCM of 96,71,88,14 is 524832.
GCF of Denominators means GCF of 77,82,51,510 as per the given fractions.
GCF of 77,82,51,510 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 96,71,88,14
2 | 96, 71, 88, 14 |
2 | 48, 71, 44, 7 |
2 | 24, 71, 22, 7 |
12, 71, 11, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 12 x 71 x 11 x 7 = 524832
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 96,71,88,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,71,88,14) = 1
common factors(in case of two or more numbers have common factors) = 16
GCF(96,71,88,14) x common factors =1 x 16 = 16
LCM(96,71,88,14) = ( 96 × 71 × 88 × 14 ) / 16
LCM(96,71,88,14) = 8397312 / 16
LCM(96,71,88,14) = 524832
Lets's calculate GCF of 77,82,51,510
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 524832/1
Therefore the LCM of Fractions 96/77,71/82,88/51,14/510 is 524832
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 510
List of positive integer factors of 510 that divides 510 without a remainder.
1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Greatest Common Factor
We found the factors 77,82,51,510 . The biggest common factor number is the GCF number.
So the greatest common factor 77,82,51,510 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 96/77, 71/82, 88/51, 14/510?
Answer: LCM of Numerators as per given numbers 96/77, 71/82, 88/51, 14/510 is
LCM of Numerators i.e. for 96,71,88,14 is 524832
GCF of denominators i.e. for 77,82,51,510 is 1.
Thus, LCM of Fractions is 524832.Finally, LCM of Fractions for 96/77, 71/82, 88/51, 14/510 is 524832.