Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/32, 166/80, 965/896 quickly i.e. 3524180/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/32, 166/80, 965/896 is 3524180/16.
LCM(44/32, 166/80, 965/896) = 3524180/16
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/32,166/80,965/896
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 44,166,965
Least Common Multiple of Numerators i.e. LCM of 44,166,965 is 3524180.
GCF of Denominators means GCF of 32,80,896 as per the given fractions.
GCF of 32,80,896 is 16 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,166,965
2 | 44, 166, 965 |
22, 83, 965 |
∴ So the LCM of the given numbers is 2 x 22 x 83 x 965 = 3524180
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 44,166,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,166,965) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(44,166,965) x common factors =1 x 2 = 2
LCM(44,166,965) = ( 44 × 166 × 965 ) / 2
LCM(44,166,965) = 7048360 / 2
LCM(44,166,965) = 3524180
Lets's calculate GCF of 32,80,896
2 | 32, 80, 896 |
2 | 16, 40, 448 |
2 | 8, 20, 224 |
2 | 4, 10, 112 |
2, 5, 56 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3524180/16
Therefore the LCM of Fractions 44/32,166/80,965/896 is 3524180/16
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 896
List of positive integer factors of 896 that divides 896 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896
Greatest Common Factor
We found the factors 32,80,896 . The biggest common factor number is the GCF number.
So the greatest common factor 32,80,896 is 16.
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 44/32, 166/80, 965/896?
Answer: LCM of Numerators as per given numbers 44/32, 166/80, 965/896 is
LCM of Numerators i.e. for 44,166,965 is 3524180
GCF of denominators i.e. for 32,80,896 is 16.
Thus, LCM of Fractions is 3524180/16.Finally, LCM of Fractions for 44/32, 166/80, 965/896 is 3524180/16.