Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 28/253, 17/882, 164/755 quickly i.e. 19516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 28/253, 17/882, 164/755 is 19516.
LCM(28/253, 17/882, 164/755) = 19516
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 28/253,17/882,164/755
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 28,17,164
Least Common Multiple of Numerators i.e. LCM of 28,17,164 is 19516.
GCF of Denominators means GCF of 253,882,755 as per the given fractions.
GCF of 253,882,755 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 28,17,164
2 | 28, 17, 164 |
2 | 14, 17, 82 |
7, 17, 41 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 17 x 41 = 19516
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 28,17,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,17,164) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(28,17,164) x common factors =1 x 4 = 4
LCM(28,17,164) = ( 28 × 17 × 164 ) / 4
LCM(28,17,164) = 78064 / 4
LCM(28,17,164) = 19516
Lets's calculate GCF of 253,882,755
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19516/1
Therefore the LCM of Fractions 28/253,17/882,164/755 is 19516
Factors of 253
List of positive integer factors of 253 that divides 253 without a remainder.
1,11,23,253
Factors of 882
List of positive integer factors of 882 that divides 882 without a remainder.
1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882
Factors of 755
List of positive integer factors of 755 that divides 755 without a remainder.
1,5,151,755
Greatest Common Factor
We found the factors 253,882,755 . The biggest common factor number is the GCF number.
So the greatest common factor 253,882,755 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 28/253, 17/882, 164/755?
Answer: LCM of Numerators as per given numbers 28/253, 17/882, 164/755 is
LCM of Numerators i.e. for 28,17,164 is 19516
GCF of denominators i.e. for 253,882,755 is 1.
Thus, LCM of Fractions is 19516.Finally, LCM of Fractions for 28/253, 17/882, 164/755 is 19516.