Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/38, 88/31, 41/20, 35/102 quickly i.e. 12249160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/38, 88/31, 41/20, 35/102 is 12249160.
LCM(97/38, 88/31, 41/20, 35/102) = 12249160
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/38,88/31,41/20,35/102
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 97,88,41,35
Least Common Multiple of Numerators i.e. LCM of 97,88,41,35 is 12249160.
GCF of Denominators means GCF of 38,31,20,102 as per the given fractions.
GCF of 38,31,20,102 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,88,41,35
Given numbers has no common factors except 1. So, there LCM is their product i.e 12249160
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 97,88,41,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,88,41,35) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,88,41,35) x common factors =1 x 1 = 1
LCM(97,88,41,35) = ( 97 × 88 × 41 × 35 ) / 1
LCM(97,88,41,35) = 12249160 / 1
LCM(97,88,41,35) = 12249160
Lets's calculate GCF of 38,31,20,102
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12249160/1
Therefore the LCM of Fractions 97/38,88/31,41/20,35/102 is 12249160
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 102
List of positive integer factors of 102 that divides 102 without a remainder.
1,2,3,6,17,34,51,102
Greatest Common Factor
We found the factors 38,31,20,102 . The biggest common factor number is the GCF number.
So the greatest common factor 38,31,20,102 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 97/38, 88/31, 41/20, 35/102?
Answer: LCM of Numerators as per given numbers 97/38, 88/31, 41/20, 35/102 is
LCM of Numerators i.e. for 97,88,41,35 is 12249160
GCF of denominators i.e. for 38,31,20,102 is 1.
Thus, LCM of Fractions is 12249160.Finally, LCM of Fractions for 97/38, 88/31, 41/20, 35/102 is 12249160.