Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 114/97, 869/13, 403/340 quickly i.e. 39923598 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 114/97, 869/13, 403/340 is 39923598.
LCM(114/97, 869/13, 403/340) = 39923598
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 114/97,869/13,403/340
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 114,869,403
Least Common Multiple of Numerators i.e. LCM of 114,869,403 is 39923598.
GCF of Denominators means GCF of 97,13,340 as per the given fractions.
GCF of 97,13,340 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 114,869,403
Given numbers has no common factors except 1. So, there LCM is their product i.e 39923598
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 114,869,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(114,869,403) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(114,869,403) x common factors =1 x 1 = 1
LCM(114,869,403) = ( 114 × 869 × 403 ) / 1
LCM(114,869,403) = 39923598 / 1
LCM(114,869,403) = 39923598
Lets's calculate GCF of 97,13,340
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39923598/1
Therefore the LCM of Fractions 114/97,869/13,403/340 is 39923598
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 340
List of positive integer factors of 340 that divides 340 without a remainder.
1,2,4,5,10,17,20,34,68,85,170,340
Greatest Common Factor
We found the factors 97,13,340 . The biggest common factor number is the GCF number.
So the greatest common factor 97,13,340 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 114/97, 869/13, 403/340?
Answer: LCM of Numerators as per given numbers 114/97, 869/13, 403/340 is
LCM of Numerators i.e. for 114,869,403 is 39923598
GCF of denominators i.e. for 97,13,340 is 1.
Thus, LCM of Fractions is 39923598.Finally, LCM of Fractions for 114/97, 869/13, 403/340 is 39923598.