Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 73/380, 243/687, 214/564 quickly i.e. 3796146 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 73/380, 243/687, 214/564 is 3796146.
LCM(73/380, 243/687, 214/564) = 3796146
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 73/380,243/687,214/564
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 73,243,214
Least Common Multiple of Numerators i.e. LCM of 73,243,214 is 3796146.
GCF of Denominators means GCF of 380,687,564 as per the given fractions.
GCF of 380,687,564 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 73,243,214
Given numbers has no common factors except 1. So, there LCM is their product i.e 3796146
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 73,243,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,243,214) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,243,214) x common factors =1 x 1 = 1
LCM(73,243,214) = ( 73 × 243 × 214 ) / 1
LCM(73,243,214) = 3796146 / 1
LCM(73,243,214) = 3796146
Lets's calculate GCF of 380,687,564
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3796146/1
Therefore the LCM of Fractions 73/380,243/687,214/564 is 3796146
Factors of 380
List of positive integer factors of 380 that divides 380 without a remainder.
1,2,4,5,10,19,20,38,76,95,190,380
Factors of 687
List of positive integer factors of 687 that divides 687 without a remainder.
1,3,229,687
Factors of 564
List of positive integer factors of 564 that divides 564 without a remainder.
1,2,3,4,6,12,47,94,141,188,282,564
Greatest Common Factor
We found the factors 380,687,564 . The biggest common factor number is the GCF number.
So the greatest common factor 380,687,564 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 73/380, 243/687, 214/564?
Answer: LCM of Numerators as per given numbers 73/380, 243/687, 214/564 is
LCM of Numerators i.e. for 73,243,214 is 3796146
GCF of denominators i.e. for 380,687,564 is 1.
Thus, LCM of Fractions is 3796146.Finally, LCM of Fractions for 73/380, 243/687, 214/564 is 3796146.