Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 92/80, 16/84, 96/36, 63/334 quickly i.e. 23184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 92/80, 16/84, 96/36, 63/334 is 23184.
LCM(92/80, 16/84, 96/36, 63/334) = 23184
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 92/80,16/84,96/36,63/334
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 92,16,96,63
Least Common Multiple of Numerators i.e. LCM of 92,16,96,63 is 46368.
GCF of Denominators means GCF of 80,84,36,334 as per the given fractions.
GCF of 80,84,36,334 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 92,16,96,63
2 | 92, 16, 96, 63 |
2 | 46, 8, 48, 63 |
2 | 23, 4, 24, 63 |
2 | 23, 2, 12, 63 |
3 | 23, 1, 6, 63 |
23, 1, 2, 21 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 23 x 1 x 2 x 21 = 46368
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 92,16,96,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,16,96,63) = 1
common factors(in case of two or more numbers have common factors) = 192
GCF(92,16,96,63) x common factors =1 x 192 = 192
LCM(92,16,96,63) = ( 92 × 16 × 96 × 63 ) / 192
LCM(92,16,96,63) = 8902656 / 192
LCM(92,16,96,63) = 46368
Lets's calculate GCF of 80,84,36,334
2 | 80, 84, 36, 334 |
40, 42, 18, 167 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46368/2
Therefore the LCM of Fractions 92/80,16/84,96/36,63/334 is 23184
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 334
List of positive integer factors of 334 that divides 334 without a remainder.
1,2,167,334
Greatest Common Factor
We found the factors 80,84,36,334 . The biggest common factor number is the GCF number.
So the greatest common factor 80,84,36,334 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 92/80, 16/84, 96/36, 63/334?
Answer: LCM of Numerators as per given numbers 92/80, 16/84, 96/36, 63/334 is
LCM of Numerators i.e. for 92,16,96,63 is 46368
GCF of denominators i.e. for 80,84,36,334 is 2.
Thus, LCM of Fractions is 23184.Finally, LCM of Fractions for 92/80, 16/84, 96/36, 63/334 is 23184.