Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/437, 72/580, 503/443 quickly i.e. 1702152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/437, 72/580, 503/443 is 1702152.
LCM(94/437, 72/580, 503/443) = 1702152
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/437,72/580,503/443
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 94,72,503
Least Common Multiple of Numerators i.e. LCM of 94,72,503 is 1702152.
GCF of Denominators means GCF of 437,580,443 as per the given fractions.
GCF of 437,580,443 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,72,503
2 | 94, 72, 503 |
47, 36, 503 |
∴ So the LCM of the given numbers is 2 x 47 x 36 x 503 = 1702152
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 94,72,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,72,503) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(94,72,503) x common factors =1 x 2 = 2
LCM(94,72,503) = ( 94 × 72 × 503 ) / 2
LCM(94,72,503) = 3404304 / 2
LCM(94,72,503) = 1702152
Lets's calculate GCF of 437,580,443
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1702152/1
Therefore the LCM of Fractions 94/437,72/580,503/443 is 1702152
Factors of 437
List of positive integer factors of 437 that divides 437 without a remainder.
1,19,23,437
Factors of 580
List of positive integer factors of 580 that divides 580 without a remainder.
1,2,4,5,10,20,29,58,116,145,290,580
Factors of 443
List of positive integer factors of 443 that divides 443 without a remainder.
1,443
Greatest Common Factor
We found the factors 437,580,443 . The biggest common factor number is the GCF number.
So the greatest common factor 437,580,443 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 94/437, 72/580, 503/443?
Answer: LCM of Numerators as per given numbers 94/437, 72/580, 503/443 is
LCM of Numerators i.e. for 94,72,503 is 1702152
GCF of denominators i.e. for 437,580,443 is 1.
Thus, LCM of Fractions is 1702152.Finally, LCM of Fractions for 94/437, 72/580, 503/443 is 1702152.