Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 84/44, 93/34, 51/10, 94/464 quickly i.e. 1040298 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 84/44, 93/34, 51/10, 94/464 is 1040298.
LCM(84/44, 93/34, 51/10, 94/464) = 1040298
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 84/44,93/34,51/10,94/464
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 84,93,51,94
Least Common Multiple of Numerators i.e. LCM of 84,93,51,94 is 2080596.
GCF of Denominators means GCF of 44,34,10,464 as per the given fractions.
GCF of 44,34,10,464 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 84,93,51,94
2 | 84, 93, 51, 94 |
3 | 42, 93, 51, 47 |
14, 31, 17, 47 |
∴ So the LCM of the given numbers is 2 x 3 x 14 x 31 x 17 x 47 = 2080596
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 84,93,51,94 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,93,51,94) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(84,93,51,94) x common factors =1 x 18 = 18
LCM(84,93,51,94) = ( 84 × 93 × 51 × 94 ) / 18
LCM(84,93,51,94) = 37450728 / 18
LCM(84,93,51,94) = 2080596
Lets's calculate GCF of 44,34,10,464
2 | 44, 34, 10, 464 |
22, 17, 5, 232 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2080596/2
Therefore the LCM of Fractions 84/44,93/34,51/10,94/464 is 1040298
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 464
List of positive integer factors of 464 that divides 464 without a remainder.
1,2,4,8,16,29,58,116,232,464
Greatest Common Factor
We found the factors 44,34,10,464 . The biggest common factor number is the GCF number.
So the greatest common factor 44,34,10,464 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 84/44, 93/34, 51/10, 94/464?
Answer: LCM of Numerators as per given numbers 84/44, 93/34, 51/10, 94/464 is
LCM of Numerators i.e. for 84,93,51,94 is 2080596
GCF of denominators i.e. for 44,34,10,464 is 2.
Thus, LCM of Fractions is 1040298.Finally, LCM of Fractions for 84/44, 93/34, 51/10, 94/464 is 1040298.