Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 21/543, 592/803, 173/993 quickly i.e. 2150736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 21/543, 592/803, 173/993 is 2150736.
LCM(21/543, 592/803, 173/993) = 2150736
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 21/543,592/803,173/993
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 21,592,173
Least Common Multiple of Numerators i.e. LCM of 21,592,173 is 2150736.
GCF of Denominators means GCF of 543,803,993 as per the given fractions.
GCF of 543,803,993 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 21,592,173
Given numbers has no common factors except 1. So, there LCM is their product i.e 2150736
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 21,592,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,592,173) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,592,173) x common factors =1 x 1 = 1
LCM(21,592,173) = ( 21 × 592 × 173 ) / 1
LCM(21,592,173) = 2150736 / 1
LCM(21,592,173) = 2150736
Lets's calculate GCF of 543,803,993
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2150736/1
Therefore the LCM of Fractions 21/543,592/803,173/993 is 2150736
Factors of 543
List of positive integer factors of 543 that divides 543 without a remainder.
1,3,181,543
Factors of 803
List of positive integer factors of 803 that divides 803 without a remainder.
1,11,73,803
Factors of 993
List of positive integer factors of 993 that divides 993 without a remainder.
1,3,331,993
Greatest Common Factor
We found the factors 543,803,993 . The biggest common factor number is the GCF number.
So the greatest common factor 543,803,993 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 21/543, 592/803, 173/993?
Answer: LCM of Numerators as per given numbers 21/543, 592/803, 173/993 is
LCM of Numerators i.e. for 21,592,173 is 2150736
GCF of denominators i.e. for 543,803,993 is 1.
Thus, LCM of Fractions is 2150736.Finally, LCM of Fractions for 21/543, 592/803, 173/993 is 2150736.