Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/23, 6/64, 32/90, 97/616 quickly i.e. 9312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/23, 6/64, 32/90, 97/616 is 9312.
LCM(1/23, 6/64, 32/90, 97/616) = 9312
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/23,6/64,32/90,97/616
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 1,6,32,97
Least Common Multiple of Numerators i.e. LCM of 1,6,32,97 is 9312.
GCF of Denominators means GCF of 23,64,90,616 as per the given fractions.
GCF of 23,64,90,616 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,6,32,97
2 | 1, 6, 32, 97 |
1, 3, 16, 97 |
∴ So the LCM of the given numbers is 2 x 1 x 3 x 16 x 97 = 9312
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 1,6,32,97 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,6,32,97) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(1,6,32,97) x common factors =1 x 2 = 2
LCM(1,6,32,97) = ( 1 × 6 × 32 × 97 ) / 2
LCM(1,6,32,97) = 18624 / 2
LCM(1,6,32,97) = 9312
Lets's calculate GCF of 23,64,90,616
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9312/1
Therefore the LCM of Fractions 1/23,6/64,32/90,97/616 is 9312
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
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 616
List of positive integer factors of 616 that divides 616 without a remainder.
1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Greatest Common Factor
We found the factors 23,64,90,616 . The biggest common factor number is the GCF number.
So the greatest common factor 23,64,90,616 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 1/23, 6/64, 32/90, 97/616?
Answer: LCM of Numerators as per given numbers 1/23, 6/64, 32/90, 97/616 is
LCM of Numerators i.e. for 1,6,32,97 is 9312
GCF of denominators i.e. for 23,64,90,616 is 1.
Thus, LCM of Fractions is 9312.Finally, LCM of Fractions for 1/23, 6/64, 32/90, 97/616 is 9312.