Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 48/571, 68/503, 633/120 quickly i.e. 172176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 48/571, 68/503, 633/120 is 172176.
LCM(48/571, 68/503, 633/120) = 172176
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 48/571,68/503,633/120
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 48,68,633
Least Common Multiple of Numerators i.e. LCM of 48,68,633 is 172176.
GCF of Denominators means GCF of 571,503,120 as per the given fractions.
GCF of 571,503,120 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 48,68,633
2 | 48, 68, 633 |
2 | 24, 34, 633 |
3 | 12, 17, 633 |
4, 17, 211 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 4 x 17 x 211 = 172176
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 48,68,633 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,68,633) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(48,68,633) x common factors =1 x 12 = 12
LCM(48,68,633) = ( 48 × 68 × 633 ) / 12
LCM(48,68,633) = 2066112 / 12
LCM(48,68,633) = 172176
Lets's calculate GCF of 571,503,120
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 172176/1
Therefore the LCM of Fractions 48/571,68/503,633/120 is 172176
Factors of 571
List of positive integer factors of 571 that divides 571 without a remainder.
1,571
Factors of 503
List of positive integer factors of 503 that divides 503 without a remainder.
1,503
Factors of 120
List of positive integer factors of 120 that divides 120 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Greatest Common Factor
We found the factors 571,503,120 . The biggest common factor number is the GCF number.
So the greatest common factor 571,503,120 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 48/571, 68/503, 633/120?
Answer: LCM of Numerators as per given numbers 48/571, 68/503, 633/120 is
LCM of Numerators i.e. for 48,68,633 is 172176
GCF of denominators i.e. for 571,503,120 is 1.
Thus, LCM of Fractions is 172176.Finally, LCM of Fractions for 48/571, 68/503, 633/120 is 172176.