Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/18, 8/62, 16/88, 46/910 quickly i.e. 184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/18, 8/62, 16/88, 46/910 is 184.
LCM(8/18, 8/62, 16/88, 46/910) = 184
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/18,8/62,16/88,46/910
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 8,8,16,46
Least Common Multiple of Numerators i.e. LCM of 8,8,16,46 is 368.
GCF of Denominators means GCF of 18,62,88,910 as per the given fractions.
GCF of 18,62,88,910 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,8,16,46
2 | 8, 8, 16, 46 |
2 | 4, 4, 8, 23 |
2 | 2, 2, 4, 23 |
1, 1, 2, 23 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 1 x 1 x 2 x 23 = 368
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 8,8,16,46 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,8,16,46) = 2
common factors(in case of two or more numbers have common factors) = 64
GCF(8,8,16,46) x common factors =2 x 64 = 128
LCM(8,8,16,46) = ( 8 × 8 × 16 × 46 ) / 128
LCM(8,8,16,46) = 47104 / 128
LCM(8,8,16,46) = 368
Lets's calculate GCF of 18,62,88,910
2 | 18, 62, 88, 910 |
9, 31, 44, 455 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 368/2
Therefore the LCM of Fractions 8/18,8/62,16/88,46/910 is 184
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
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 910
List of positive integer factors of 910 that divides 910 without a remainder.
1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910
Greatest Common Factor
We found the factors 18,62,88,910 . The biggest common factor number is the GCF number.
So the greatest common factor 18,62,88,910 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 8/18, 8/62, 16/88, 46/910?
Answer: LCM of Numerators as per given numbers 8/18, 8/62, 16/88, 46/910 is
LCM of Numerators i.e. for 8,8,16,46 is 368
GCF of denominators i.e. for 18,62,88,910 is 2.
Thus, LCM of Fractions is 184.Finally, LCM of Fractions for 8/18, 8/62, 16/88, 46/910 is 184.