Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 28/44, 74/86, 10/66, 94/30 quickly i.e. 121730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 28/44, 74/86, 10/66, 94/30 is 121730.
LCM(28/44, 74/86, 10/66, 94/30) = 121730
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 28/44,74/86,10/66,94/30
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 28,74,10,94
Least Common Multiple of Numerators i.e. LCM of 28,74,10,94 is 243460.
GCF of Denominators means GCF of 44,86,66,30 as per the given fractions.
GCF of 44,86,66,30 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 28,74,10,94
2 | 28, 74, 10, 94 |
14, 37, 5, 47 |
∴ So the LCM of the given numbers is 2 x 14 x 37 x 5 x 47 = 243460
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 28,74,10,94 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,74,10,94) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(28,74,10,94) x common factors =2 x 4 = 8
LCM(28,74,10,94) = ( 28 × 74 × 10 × 94 ) / 8
LCM(28,74,10,94) = 1947680 / 8
LCM(28,74,10,94) = 243460
Lets's calculate GCF of 44,86,66,30
2 | 44, 86, 66, 30 |
22, 43, 33, 15 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 243460/2
Therefore the LCM of Fractions 28/44,74/86,10/66,94/30 is 121730
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
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 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Greatest Common Factor
We found the factors 44,86,66,30 . The biggest common factor number is the GCF number.
So the greatest common factor 44,86,66,30 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 28/44, 74/86, 10/66, 94/30?
Answer: LCM of Numerators as per given numbers 28/44, 74/86, 10/66, 94/30 is
LCM of Numerators i.e. for 28,74,10,94 is 243460
GCF of denominators i.e. for 44,86,66,30 is 2.
Thus, LCM of Fractions is 121730.Finally, LCM of Fractions for 28/44, 74/86, 10/66, 94/30 is 121730.