Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 54/368, 73/784, 950/595 quickly i.e. 1872450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 54/368, 73/784, 950/595 is 1872450.
LCM(54/368, 73/784, 950/595) = 1872450
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 54/368,73/784,950/595
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 54,73,950
Least Common Multiple of Numerators i.e. LCM of 54,73,950 is 1872450.
GCF of Denominators means GCF of 368,784,595 as per the given fractions.
GCF of 368,784,595 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 54,73,950
2 | 54, 73, 950 |
27, 73, 475 |
∴ So the LCM of the given numbers is 2 x 27 x 73 x 475 = 1872450
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 54,73,950 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,73,950) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(54,73,950) x common factors =1 x 2 = 2
LCM(54,73,950) = ( 54 × 73 × 950 ) / 2
LCM(54,73,950) = 3744900 / 2
LCM(54,73,950) = 1872450
Lets's calculate GCF of 368,784,595
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1872450/1
Therefore the LCM of Fractions 54/368,73/784,950/595 is 1872450
Factors of 368
List of positive integer factors of 368 that divides 368 without a remainder.
1,2,4,8,16,23,46,92,184,368
Factors of 784
List of positive integer factors of 784 that divides 784 without a remainder.
1,2,4,7,8,14,16,28,49,56,98,112,196,392,784
Factors of 595
List of positive integer factors of 595 that divides 595 without a remainder.
1,5,7,17,35,85,119,595
Greatest Common Factor
We found the factors 368,784,595 . The biggest common factor number is the GCF number.
So the greatest common factor 368,784,595 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 54/368, 73/784, 950/595?
Answer: LCM of Numerators as per given numbers 54/368, 73/784, 950/595 is
LCM of Numerators i.e. for 54,73,950 is 1872450
GCF of denominators i.e. for 368,784,595 is 1.
Thus, LCM of Fractions is 1872450.Finally, LCM of Fractions for 54/368, 73/784, 950/595 is 1872450.