Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/16, 86/92, 88/636 quickly i.e. 4730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/16, 86/92, 88/636 is 4730.
LCM(20/16, 86/92, 88/636) = 4730
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/16,86/92,88/636
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 20,86,88
Least Common Multiple of Numerators i.e. LCM of 20,86,88 is 18920.
GCF of Denominators means GCF of 16,92,636 as per the given fractions.
GCF of 16,92,636 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,86,88
2 | 20, 86, 88 |
2 | 10, 43, 44 |
5, 43, 22 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 43 x 22 = 18920
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 20,86,88 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,86,88) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(20,86,88) x common factors =2 x 4 = 8
LCM(20,86,88) = ( 20 × 86 × 88 ) / 8
LCM(20,86,88) = 151360 / 8
LCM(20,86,88) = 18920
Lets's calculate GCF of 16,92,636
2 | 16, 92, 636 |
2 | 8, 46, 318 |
4, 23, 159 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18920/4
Therefore the LCM of Fractions 20/16,86/92,88/636 is 4730
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 636
List of positive integer factors of 636 that divides 636 without a remainder.
1,2,3,4,6,12,53,106,159,212,318,636
Greatest Common Factor
We found the factors 16,92,636 . The biggest common factor number is the GCF number.
So the greatest common factor 16,92,636 is 4.
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 20/16, 86/92, 88/636?
Answer: LCM of Numerators as per given numbers 20/16, 86/92, 88/636 is
LCM of Numerators i.e. for 20,86,88 is 18920
GCF of denominators i.e. for 16,92,636 is 4.
Thus, LCM of Fractions is 4730.Finally, LCM of Fractions for 20/16, 86/92, 88/636 is 4730.