Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/177, 73/312, 305/556 quickly i.e. 267180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/177, 73/312, 305/556 is 267180.
LCM(12/177, 73/312, 305/556) = 267180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/177,73/312,305/556
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 12,73,305
Least Common Multiple of Numerators i.e. LCM of 12,73,305 is 267180.
GCF of Denominators means GCF of 177,312,556 as per the given fractions.
GCF of 177,312,556 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,73,305
Given numbers has no common factors except 1. So, there LCM is their product i.e 267180
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 12,73,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,73,305) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(12,73,305) x common factors =1 x 1 = 1
LCM(12,73,305) = ( 12 × 73 × 305 ) / 1
LCM(12,73,305) = 267180 / 1
LCM(12,73,305) = 267180
Lets's calculate GCF of 177,312,556
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 267180/1
Therefore the LCM of Fractions 12/177,73/312,305/556 is 267180
Factors of 177
List of positive integer factors of 177 that divides 177 without a remainder.
1,3,59,177
Factors of 312
List of positive integer factors of 312 that divides 312 without a remainder.
1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
Factors of 556
List of positive integer factors of 556 that divides 556 without a remainder.
1,2,4,139,278,556
Greatest Common Factor
We found the factors 177,312,556 . The biggest common factor number is the GCF number.
So the greatest common factor 177,312,556 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 12/177, 73/312, 305/556?
Answer: LCM of Numerators as per given numbers 12/177, 73/312, 305/556 is
LCM of Numerators i.e. for 12,73,305 is 267180
GCF of denominators i.e. for 177,312,556 is 1.
Thus, LCM of Fractions is 267180.Finally, LCM of Fractions for 12/177, 73/312, 305/556 is 267180.