Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 18/76, 54/88, 23/10, 64/584 quickly i.e. 19872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 18/76, 54/88, 23/10, 64/584 is 19872.
LCM(18/76, 54/88, 23/10, 64/584) = 19872
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 18/76,54/88,23/10,64/584
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 18,54,23,64
Least Common Multiple of Numerators i.e. LCM of 18,54,23,64 is 39744.
GCF of Denominators means GCF of 76,88,10,584 as per the given fractions.
GCF of 76,88,10,584 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 18,54,23,64
2 | 18, 54, 23, 64 |
3 | 9, 27, 23, 32 |
3 | 3, 9, 23, 32 |
1, 3, 23, 32 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 3 x 23 x 32 = 39744
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 18,54,23,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,54,23,64) = 1
common factors(in case of two or more numbers have common factors) = 36
GCF(18,54,23,64) x common factors =1 x 36 = 36
LCM(18,54,23,64) = ( 18 × 54 × 23 × 64 ) / 36
LCM(18,54,23,64) = 1430784 / 36
LCM(18,54,23,64) = 39744
Lets's calculate GCF of 76,88,10,584
2 | 76, 88, 10, 584 |
38, 44, 5, 292 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39744/2
Therefore the LCM of Fractions 18/76,54/88,23/10,64/584 is 19872
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 584
List of positive integer factors of 584 that divides 584 without a remainder.
1,2,4,8,73,146,292,584
Greatest Common Factor
We found the factors 76,88,10,584 . The biggest common factor number is the GCF number.
So the greatest common factor 76,88,10,584 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 18/76, 54/88, 23/10, 64/584?
Answer: LCM of Numerators as per given numbers 18/76, 54/88, 23/10, 64/584 is
LCM of Numerators i.e. for 18,54,23,64 is 39744
GCF of denominators i.e. for 76,88,10,584 is 2.
Thus, LCM of Fractions is 19872.Finally, LCM of Fractions for 18/76, 54/88, 23/10, 64/584 is 19872.