Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/49, 35/35, 95/68, 47/408 quickly i.e. 3031735 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/49, 35/35, 95/68, 47/408 is 3031735.
LCM(97/49, 35/35, 95/68, 47/408) = 3031735
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/49,35/35,95/68,47/408
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 97,35,95,47
Least Common Multiple of Numerators i.e. LCM of 97,35,95,47 is 3031735.
GCF of Denominators means GCF of 49,35,68,408 as per the given fractions.
GCF of 49,35,68,408 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,35,95,47
5 | 97, 35, 95, 47 |
97, 7, 19, 47 |
∴ So the LCM of the given numbers is 5 x 97 x 7 x 19 x 47 = 3031735
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 97,35,95,47 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,35,95,47) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(97,35,95,47) x common factors =1 x 5 = 5
LCM(97,35,95,47) = ( 97 × 35 × 95 × 47 ) / 5
LCM(97,35,95,47) = 15158675 / 5
LCM(97,35,95,47) = 3031735
Lets's calculate GCF of 49,35,68,408
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3031735/1
Therefore the LCM of Fractions 97/49,35/35,95/68,47/408 is 3031735
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 408
List of positive integer factors of 408 that divides 408 without a remainder.
1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Greatest Common Factor
We found the factors 49,35,68,408 . The biggest common factor number is the GCF number.
So the greatest common factor 49,35,68,408 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 97/49, 35/35, 95/68, 47/408?
Answer: LCM of Numerators as per given numbers 97/49, 35/35, 95/68, 47/408 is
LCM of Numerators i.e. for 97,35,95,47 is 3031735
GCF of denominators i.e. for 49,35,68,408 is 1.
Thus, LCM of Fractions is 3031735.Finally, LCM of Fractions for 97/49, 35/35, 95/68, 47/408 is 3031735.