Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 944/54, 848/5572 quickly i.e. 25016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 944/54, 848/5572 is 25016.
LCM(944/54, 848/5572) = 25016
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 944/54,848/5572
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 944,848
Least Common Multiple of Numerators i.e. LCM of 944,848 is 50032.
GCF of Denominators means GCF of 54,5572 as per the given fractions.
GCF of 54,5572 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 944,848
2 | 944, 848 |
2 | 472, 424 |
2 | 236, 212 |
2 | 118, 106 |
59, 53 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 59 x 53 = 50032
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 944,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(944,848) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(944,848) x common factors =16 x 1 = 16
LCM(944,848) = ( 944 × 848 ) / 16
LCM(944,848) = 800512 / 16
LCM(944,848) = 50032
Lets's calculate GCF of 54,5572
2 | 54, 5572 |
27, 2786 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50032/2
Therefore the LCM of Fractions 944/54,848/5572 is 25016
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 5572
List of positive integer factors of 5572 that divides 5572 without a remainder.
1,2,4,7,14,28,199,398,796,1393,2786,5572
Greatest Common Factor
We found the factors 54,5572 . The biggest common factor number is the GCF number.
So the greatest common factor 54,5572 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 944/54, 848/5572?
Answer: LCM of Numerators as per given numbers 944/54, 848/5572 is
LCM of Numerators i.e. for 944,848 is 50032
GCF of denominators i.e. for 54,5572 is 2.
Thus, LCM of Fractions is 25016.Finally, LCM of Fractions for 944/54, 848/5572 is 25016.