Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/850, 298/736, 881/582 quickly i.e. 2887918 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/850, 298/736, 881/582 is 2887918.
LCM(44/850, 298/736, 881/582) = 2887918
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/850,298/736,881/582
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 44,298,881
Least Common Multiple of Numerators i.e. LCM of 44,298,881 is 5775836.
GCF of Denominators means GCF of 850,736,582 as per the given fractions.
GCF of 850,736,582 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,298,881
2 | 44, 298, 881 |
22, 149, 881 |
∴ So the LCM of the given numbers is 2 x 22 x 149 x 881 = 5775836
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 44,298,881 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,298,881) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(44,298,881) x common factors =1 x 2 = 2
LCM(44,298,881) = ( 44 × 298 × 881 ) / 2
LCM(44,298,881) = 11551672 / 2
LCM(44,298,881) = 5775836
Lets's calculate GCF of 850,736,582
2 | 850, 736, 582 |
425, 368, 291 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5775836/2
Therefore the LCM of Fractions 44/850,298/736,881/582 is 2887918
Factors of 850
List of positive integer factors of 850 that divides 850 without a remainder.
1,2,5,10,17,25,34,50,85,170,425,850
Factors of 736
List of positive integer factors of 736 that divides 736 without a remainder.
1,2,4,8,16,23,32,46,92,184,368,736
Factors of 582
List of positive integer factors of 582 that divides 582 without a remainder.
1,2,3,6,97,194,291,582
Greatest Common Factor
We found the factors 850,736,582 . The biggest common factor number is the GCF number.
So the greatest common factor 850,736,582 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 44/850, 298/736, 881/582?
Answer: LCM of Numerators as per given numbers 44/850, 298/736, 881/582 is
LCM of Numerators i.e. for 44,298,881 is 5775836
GCF of denominators i.e. for 850,736,582 is 2.
Thus, LCM of Fractions is 2887918.Finally, LCM of Fractions for 44/850, 298/736, 881/582 is 2887918.