Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/438, 30/599, 785/768 quickly i.e. 221370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/438, 30/599, 785/768 is 221370.
LCM(47/438, 30/599, 785/768) = 221370
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/438,30/599,785/768
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 47,30,785
Least Common Multiple of Numerators i.e. LCM of 47,30,785 is 221370.
GCF of Denominators means GCF of 438,599,768 as per the given fractions.
GCF of 438,599,768 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,30,785
5 | 47, 30, 785 |
47, 6, 157 |
∴ So the LCM of the given numbers is 5 x 47 x 6 x 157 = 221370
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 47,30,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,30,785) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(47,30,785) x common factors =1 x 5 = 5
LCM(47,30,785) = ( 47 × 30 × 785 ) / 5
LCM(47,30,785) = 1106850 / 5
LCM(47,30,785) = 221370
Lets's calculate GCF of 438,599,768
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 221370/1
Therefore the LCM of Fractions 47/438,30/599,785/768 is 221370
Factors of 438
List of positive integer factors of 438 that divides 438 without a remainder.
1,2,3,6,73,146,219,438
Factors of 599
List of positive integer factors of 599 that divides 599 without a remainder.
1,599
Factors of 768
List of positive integer factors of 768 that divides 768 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768
Greatest Common Factor
We found the factors 438,599,768 . The biggest common factor number is the GCF number.
So the greatest common factor 438,599,768 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 47/438, 30/599, 785/768?
Answer: LCM of Numerators as per given numbers 47/438, 30/599, 785/768 is
LCM of Numerators i.e. for 47,30,785 is 221370
GCF of denominators i.e. for 438,599,768 is 1.
Thus, LCM of Fractions is 221370.Finally, LCM of Fractions for 47/438, 30/599, 785/768 is 221370.