Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 273/28, 507/59, 917/179 quickly i.e. 464919 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 273/28, 507/59, 917/179 is 464919.
LCM(273/28, 507/59, 917/179) = 464919
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 273/28,507/59,917/179
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 273,507,917
Least Common Multiple of Numerators i.e. LCM of 273,507,917 is 464919.
GCF of Denominators means GCF of 28,59,179 as per the given fractions.
GCF of 28,59,179 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 273,507,917
3 | 273, 507, 917 |
7 | 91, 169, 917 |
13 | 13, 169, 131 |
1, 13, 131 |
∴ So the LCM of the given numbers is 3 x 7 x 13 x 1 x 13 x 131 = 464919
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 273,507,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,507,917) = 1
common factors(in case of two or more numbers have common factors) = 273
GCF(273,507,917) x common factors =1 x 273 = 273
LCM(273,507,917) = ( 273 × 507 × 917 ) / 273
LCM(273,507,917) = 126922887 / 273
LCM(273,507,917) = 464919
Lets's calculate GCF of 28,59,179
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 464919/1
Therefore the LCM of Fractions 273/28,507/59,917/179 is 464919
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 179
List of positive integer factors of 179 that divides 179 without a remainder.
1,179
Greatest Common Factor
We found the factors 28,59,179 . The biggest common factor number is the GCF number.
So the greatest common factor 28,59,179 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 273/28, 507/59, 917/179?
Answer: LCM of Numerators as per given numbers 273/28, 507/59, 917/179 is
LCM of Numerators i.e. for 273,507,917 is 464919
GCF of denominators i.e. for 28,59,179 is 1.
Thus, LCM of Fractions is 464919.Finally, LCM of Fractions for 273/28, 507/59, 917/179 is 464919.