Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 21/483, 78/270, 850/436 quickly i.e. 232050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 21/483, 78/270, 850/436 is 232050.
LCM(21/483, 78/270, 850/436) = 232050
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 21/483,78/270,850/436
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 21,78,850
Least Common Multiple of Numerators i.e. LCM of 21,78,850 is 232050.
GCF of Denominators means GCF of 483,270,436 as per the given fractions.
GCF of 483,270,436 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 21,78,850
2 | 21, 78, 850 |
3 | 21, 39, 425 |
7, 13, 425 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 13 x 425 = 232050
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 21,78,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,78,850) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(21,78,850) x common factors =1 x 6 = 6
LCM(21,78,850) = ( 21 × 78 × 850 ) / 6
LCM(21,78,850) = 1392300 / 6
LCM(21,78,850) = 232050
Lets's calculate GCF of 483,270,436
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 232050/1
Therefore the LCM of Fractions 21/483,78/270,850/436 is 232050
Factors of 483
List of positive integer factors of 483 that divides 483 without a remainder.
1,3,7,21,23,69,161,483
Factors of 270
List of positive integer factors of 270 that divides 270 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270
Factors of 436
List of positive integer factors of 436 that divides 436 without a remainder.
1,2,4,109,218,436
Greatest Common Factor
We found the factors 483,270,436 . The biggest common factor number is the GCF number.
So the greatest common factor 483,270,436 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 21/483, 78/270, 850/436?
Answer: LCM of Numerators as per given numbers 21/483, 78/270, 850/436 is
LCM of Numerators i.e. for 21,78,850 is 232050
GCF of denominators i.e. for 483,270,436 is 1.
Thus, LCM of Fractions is 232050.Finally, LCM of Fractions for 21/483, 78/270, 850/436 is 232050.