Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/76, 6/30, 16/33, 94/936 quickly i.e. 2256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/76, 6/30, 16/33, 94/936 is 2256.
LCM(8/76, 6/30, 16/33, 94/936) = 2256
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/76,6/30,16/33,94/936
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 8,6,16,94
Least Common Multiple of Numerators i.e. LCM of 8,6,16,94 is 2256.
GCF of Denominators means GCF of 76,30,33,936 as per the given fractions.
GCF of 76,30,33,936 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,6,16,94
2 | 8, 6, 16, 94 |
2 | 4, 3, 8, 47 |
2 | 2, 3, 4, 47 |
1, 3, 2, 47 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 1 x 3 x 2 x 47 = 2256
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 8,6,16,94 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,6,16,94) = 2
common factors(in case of two or more numbers have common factors) = 16
GCF(8,6,16,94) x common factors =2 x 16 = 32
LCM(8,6,16,94) = ( 8 × 6 × 16 × 94 ) / 32
LCM(8,6,16,94) = 72192 / 32
LCM(8,6,16,94) = 2256
Lets's calculate GCF of 76,30,33,936
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2256/1
Therefore the LCM of Fractions 8/76,6/30,16/33,94/936 is 2256
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
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 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 936
List of positive integer factors of 936 that divides 936 without a remainder.
1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936
Greatest Common Factor
We found the factors 76,30,33,936 . The biggest common factor number is the GCF number.
So the greatest common factor 76,30,33,936 is 1.
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 8/76, 6/30, 16/33, 94/936?
Answer: LCM of Numerators as per given numbers 8/76, 6/30, 16/33, 94/936 is
LCM of Numerators i.e. for 8,6,16,94 is 2256
GCF of denominators i.e. for 76,30,33,936 is 1.
Thus, LCM of Fractions is 2256.Finally, LCM of Fractions for 8/76, 6/30, 16/33, 94/936 is 2256.