Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/66, 40/92, 80/30, 925/12 quickly i.e. 81400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/66, 40/92, 80/30, 925/12 is 81400.
LCM(44/66, 40/92, 80/30, 925/12) = 81400
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/66,40/92,80/30,925/12
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 44,40,80,925
Least Common Multiple of Numerators i.e. LCM of 44,40,80,925 is 162800.
GCF of Denominators means GCF of 66,92,30,12 as per the given fractions.
GCF of 66,92,30,12 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,40,80,925
2 | 44, 40, 80, 925 |
2 | 22, 20, 40, 925 |
2 | 11, 10, 20, 925 |
5 | 11, 5, 10, 925 |
11, 1, 2, 185 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 11 x 1 x 2 x 185 = 162800
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 44,40,80,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,40,80,925) = 1
common factors(in case of two or more numbers have common factors) = 800
GCF(44,40,80,925) x common factors =1 x 800 = 800
LCM(44,40,80,925) = ( 44 × 40 × 80 × 925 ) / 800
LCM(44,40,80,925) = 130240000 / 800
LCM(44,40,80,925) = 162800
Lets's calculate GCF of 66,92,30,12
2 | 66, 92, 30, 12 |
33, 46, 15, 6 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162800/2
Therefore the LCM of Fractions 44/66,40/92,80/30,925/12 is 81400
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Greatest Common Factor
We found the factors 66,92,30,12 . The biggest common factor number is the GCF number.
So the greatest common factor 66,92,30,12 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 44/66, 40/92, 80/30, 925/12?
Answer: LCM of Numerators as per given numbers 44/66, 40/92, 80/30, 925/12 is
LCM of Numerators i.e. for 44,40,80,925 is 162800
GCF of denominators i.e. for 66,92,30,12 is 2.
Thus, LCM of Fractions is 81400.Finally, LCM of Fractions for 44/66, 40/92, 80/30, 925/12 is 81400.