Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 23/40, 11/90, 88/31, 39/98 quickly i.e. 78936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 23/40, 11/90, 88/31, 39/98 is 78936.
LCM(23/40, 11/90, 88/31, 39/98) = 78936
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 23/40,11/90,88/31,39/98
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 23,11,88,39
Least Common Multiple of Numerators i.e. LCM of 23,11,88,39 is 78936.
GCF of Denominators means GCF of 40,90,31,98 as per the given fractions.
GCF of 40,90,31,98 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 23,11,88,39
11 | 23, 11, 88, 39 |
23, 1, 8, 39 |
∴ So the LCM of the given numbers is 11 x 23 x 1 x 8 x 39 = 78936
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 23,11,88,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,11,88,39) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(23,11,88,39) x common factors =1 x 11 = 11
LCM(23,11,88,39) = ( 23 × 11 × 88 × 39 ) / 11
LCM(23,11,88,39) = 868296 / 11
LCM(23,11,88,39) = 78936
Lets's calculate GCF of 40,90,31,98
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78936/1
Therefore the LCM of Fractions 23/40,11/90,88/31,39/98 is 78936
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Greatest Common Factor
We found the factors 40,90,31,98 . The biggest common factor number is the GCF number.
So the greatest common factor 40,90,31,98 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 23/40, 11/90, 88/31, 39/98?
Answer: LCM of Numerators as per given numbers 23/40, 11/90, 88/31, 39/98 is
LCM of Numerators i.e. for 23,11,88,39 is 78936
GCF of denominators i.e. for 40,90,31,98 is 1.
Thus, LCM of Fractions is 78936.Finally, LCM of Fractions for 23/40, 11/90, 88/31, 39/98 is 78936.