Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 51/17, 39/35, 58/17, 48/272 quickly i.e. 307632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 51/17, 39/35, 58/17, 48/272 is 307632.
LCM(51/17, 39/35, 58/17, 48/272) = 307632
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 51/17,39/35,58/17,48/272
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 51,39,58,48
Least Common Multiple of Numerators i.e. LCM of 51,39,58,48 is 307632.
GCF of Denominators means GCF of 17,35,17,272 as per the given fractions.
GCF of 17,35,17,272 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 51,39,58,48
2 | 51, 39, 58, 48 |
3 | 51, 39, 29, 24 |
17, 13, 29, 8 |
∴ So the LCM of the given numbers is 2 x 3 x 17 x 13 x 29 x 8 = 307632
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 51,39,58,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,39,58,48) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(51,39,58,48) x common factors =1 x 18 = 18
LCM(51,39,58,48) = ( 51 × 39 × 58 × 48 ) / 18
LCM(51,39,58,48) = 5537376 / 18
LCM(51,39,58,48) = 307632
Lets's calculate GCF of 17,35,17,272
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 307632/1
Therefore the LCM of Fractions 51/17,39/35,58/17,48/272 is 307632
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 272
List of positive integer factors of 272 that divides 272 without a remainder.
1,2,4,8,16,17,34,68,136,272
Greatest Common Factor
We found the factors 17,35,17,272 . The biggest common factor number is the GCF number.
So the greatest common factor 17,35,17,272 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 51/17, 39/35, 58/17, 48/272?
Answer: LCM of Numerators as per given numbers 51/17, 39/35, 58/17, 48/272 is
LCM of Numerators i.e. for 51,39,58,48 is 307632
GCF of denominators i.e. for 17,35,17,272 is 1.
Thus, LCM of Fractions is 307632.Finally, LCM of Fractions for 51/17, 39/35, 58/17, 48/272 is 307632.