Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5/172, 95/659, 16/187 quickly i.e. 1520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5/172, 95/659, 16/187 is 1520.
LCM(5/172, 95/659, 16/187) = 1520
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5/172,95/659,16/187
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 5,95,16
Least Common Multiple of Numerators i.e. LCM of 5,95,16 is 1520.
GCF of Denominators means GCF of 172,659,187 as per the given fractions.
GCF of 172,659,187 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5,95,16
5 | 5, 95, 16 |
1, 19, 16 |
∴ So the LCM of the given numbers is 5 x 1 x 19 x 16 = 1520
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 5,95,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5,95,16) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(5,95,16) x common factors =1 x 5 = 5
LCM(5,95,16) = ( 5 × 95 × 16 ) / 5
LCM(5,95,16) = 7600 / 5
LCM(5,95,16) = 1520
Lets's calculate GCF of 172,659,187
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1520/1
Therefore the LCM of Fractions 5/172,95/659,16/187 is 1520
Factors of 172
List of positive integer factors of 172 that divides 172 without a remainder.
1,2,4,43,86,172
Factors of 659
List of positive integer factors of 659 that divides 659 without a remainder.
1,659
Factors of 187
List of positive integer factors of 187 that divides 187 without a remainder.
1,11,17,187
Greatest Common Factor
We found the factors 172,659,187 . The biggest common factor number is the GCF number.
So the greatest common factor 172,659,187 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 5/172, 95/659, 16/187?
Answer: LCM of Numerators as per given numbers 5/172, 95/659, 16/187 is
LCM of Numerators i.e. for 5,95,16 is 1520
GCF of denominators i.e. for 172,659,187 is 1.
Thus, LCM of Fractions is 1520.Finally, LCM of Fractions for 5/172, 95/659, 16/187 is 1520.