Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 54/622, 29/720, 848/440 quickly i.e. 331992 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 54/622, 29/720, 848/440 is 331992.
LCM(54/622, 29/720, 848/440) = 331992
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 54/622,29/720,848/440
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 54,29,848
Least Common Multiple of Numerators i.e. LCM of 54,29,848 is 663984.
GCF of Denominators means GCF of 622,720,440 as per the given fractions.
GCF of 622,720,440 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 54,29,848
2 | 54, 29, 848 |
27, 29, 424 |
∴ So the LCM of the given numbers is 2 x 27 x 29 x 424 = 663984
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 54,29,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,29,848) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(54,29,848) x common factors =1 x 2 = 2
LCM(54,29,848) = ( 54 × 29 × 848 ) / 2
LCM(54,29,848) = 1327968 / 2
LCM(54,29,848) = 663984
Lets's calculate GCF of 622,720,440
2 | 622, 720, 440 |
311, 360, 220 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 663984/2
Therefore the LCM of Fractions 54/622,29/720,848/440 is 331992
Factors of 622
List of positive integer factors of 622 that divides 622 without a remainder.
1,2,311,622
Factors of 720
List of positive integer factors of 720 that divides 720 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Factors of 440
List of positive integer factors of 440 that divides 440 without a remainder.
1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Greatest Common Factor
We found the factors 622,720,440 . The biggest common factor number is the GCF number.
So the greatest common factor 622,720,440 is 2.
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 54/622, 29/720, 848/440?
Answer: LCM of Numerators as per given numbers 54/622, 29/720, 848/440 is
LCM of Numerators i.e. for 54,29,848 is 663984
GCF of denominators i.e. for 622,720,440 is 2.
Thus, LCM of Fractions is 331992.Finally, LCM of Fractions for 54/622, 29/720, 848/440 is 331992.