Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 483/509, 747/598, 168/503 quickly i.e. 962136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 483/509, 747/598, 168/503 is 962136.
LCM(483/509, 747/598, 168/503) = 962136
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 483/509,747/598,168/503
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 483,747,168
Least Common Multiple of Numerators i.e. LCM of 483,747,168 is 962136.
GCF of Denominators means GCF of 509,598,503 as per the given fractions.
GCF of 509,598,503 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 483,747,168
3 | 483, 747, 168 |
7 | 161, 249, 56 |
23, 249, 8 |
∴ So the LCM of the given numbers is 3 x 7 x 23 x 249 x 8 = 962136
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 483,747,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(483,747,168) = 3
common factors(in case of two or more numbers have common factors) = 21
GCF(483,747,168) x common factors =3 x 21 = 63
LCM(483,747,168) = ( 483 × 747 × 168 ) / 63
LCM(483,747,168) = 60614568 / 63
LCM(483,747,168) = 962136
Lets's calculate GCF of 509,598,503
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 962136/1
Therefore the LCM of Fractions 483/509,747/598,168/503 is 962136
Factors of 509
List of positive integer factors of 509 that divides 509 without a remainder.
1,509
Factors of 598
List of positive integer factors of 598 that divides 598 without a remainder.
1,2,13,23,26,46,299,598
Factors of 503
List of positive integer factors of 503 that divides 503 without a remainder.
1,503
Greatest Common Factor
We found the factors 509,598,503 . The biggest common factor number is the GCF number.
So the greatest common factor 509,598,503 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 483/509, 747/598, 168/503?
Answer: LCM of Numerators as per given numbers 483/509, 747/598, 168/503 is
LCM of Numerators i.e. for 483,747,168 is 962136
GCF of denominators i.e. for 509,598,503 is 1.
Thus, LCM of Fractions is 962136.Finally, LCM of Fractions for 483/509, 747/598, 168/503 is 962136.