Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/352, 97/200, 88/103 quickly i.e. 8536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/352, 97/200, 88/103 is 8536.
LCM(8/352, 97/200, 88/103) = 8536
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/352,97/200,88/103
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 8,97,88
Least Common Multiple of Numerators i.e. LCM of 8,97,88 is 8536.
GCF of Denominators means GCF of 352,200,103 as per the given fractions.
GCF of 352,200,103 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,97,88
2 | 8, 97, 88 |
2 | 4, 97, 44 |
2 | 2, 97, 22 |
1, 97, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 1 x 97 x 11 = 8536
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 8,97,88 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,97,88) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(8,97,88) x common factors =1 x 8 = 8
LCM(8,97,88) = ( 8 × 97 × 88 ) / 8
LCM(8,97,88) = 68288 / 8
LCM(8,97,88) = 8536
Lets's calculate GCF of 352,200,103
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8536/1
Therefore the LCM of Fractions 8/352,97/200,88/103 is 8536
Factors of 352
List of positive integer factors of 352 that divides 352 without a remainder.
1,2,4,8,11,16,22,32,44,88,176,352
Factors of 200
List of positive integer factors of 200 that divides 200 without a remainder.
1,2,4,5,8,10,20,25,40,50,100,200
Factors of 103
List of positive integer factors of 103 that divides 103 without a remainder.
1,103
Greatest Common Factor
We found the factors 352,200,103 . The biggest common factor number is the GCF number.
So the greatest common factor 352,200,103 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 8/352, 97/200, 88/103?
Answer: LCM of Numerators as per given numbers 8/352, 97/200, 88/103 is
LCM of Numerators i.e. for 8,97,88 is 8536
GCF of denominators i.e. for 352,200,103 is 1.
Thus, LCM of Fractions is 8536.Finally, LCM of Fractions for 8/352, 97/200, 88/103 is 8536.