Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/18, 16/53, 23/22, 98/880 quickly i.e. 90160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/18, 16/53, 23/22, 98/880 is 90160.
LCM(80/18, 16/53, 23/22, 98/880) = 90160
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/18,16/53,23/22,98/880
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 80,16,23,98
Least Common Multiple of Numerators i.e. LCM of 80,16,23,98 is 90160.
GCF of Denominators means GCF of 18,53,22,880 as per the given fractions.
GCF of 18,53,22,880 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,16,23,98
2 | 80, 16, 23, 98 |
2 | 40, 8, 23, 49 |
2 | 20, 4, 23, 49 |
2 | 10, 2, 23, 49 |
5, 1, 23, 49 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 1 x 23 x 49 = 90160
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 80,16,23,98 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,16,23,98) = 1
common factors(in case of two or more numbers have common factors) = 32
GCF(80,16,23,98) x common factors =1 x 32 = 32
LCM(80,16,23,98) = ( 80 × 16 × 23 × 98 ) / 32
LCM(80,16,23,98) = 2885120 / 32
LCM(80,16,23,98) = 90160
Lets's calculate GCF of 18,53,22,880
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90160/1
Therefore the LCM of Fractions 80/18,16/53,23/22,98/880 is 90160
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 880
List of positive integer factors of 880 that divides 880 without a remainder.
1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Greatest Common Factor
We found the factors 18,53,22,880 . The biggest common factor number is the GCF number.
So the greatest common factor 18,53,22,880 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 80/18, 16/53, 23/22, 98/880?
Answer: LCM of Numerators as per given numbers 80/18, 16/53, 23/22, 98/880 is
LCM of Numerators i.e. for 80,16,23,98 is 90160
GCF of denominators i.e. for 18,53,22,880 is 1.
Thus, LCM of Fractions is 90160.Finally, LCM of Fractions for 80/18, 16/53, 23/22, 98/880 is 90160.