Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/92, 268/21, 149/808 quickly i.e. 3873404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/92, 268/21, 149/808 is 3873404.
LCM(97/92, 268/21, 149/808) = 3873404
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/92,268/21,149/808
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 97,268,149
Least Common Multiple of Numerators i.e. LCM of 97,268,149 is 3873404.
GCF of Denominators means GCF of 92,21,808 as per the given fractions.
GCF of 92,21,808 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,268,149
Given numbers has no common factors except 1. So, there LCM is their product i.e 3873404
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 97,268,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,268,149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,268,149) x common factors =1 x 1 = 1
LCM(97,268,149) = ( 97 × 268 × 149 ) / 1
LCM(97,268,149) = 3873404 / 1
LCM(97,268,149) = 3873404
Lets's calculate GCF of 92,21,808
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3873404/1
Therefore the LCM of Fractions 97/92,268/21,149/808 is 3873404
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 808
List of positive integer factors of 808 that divides 808 without a remainder.
1,2,4,8,101,202,404,808
Greatest Common Factor
We found the factors 92,21,808 . The biggest common factor number is the GCF number.
So the greatest common factor 92,21,808 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 97/92, 268/21, 149/808?
Answer: LCM of Numerators as per given numbers 97/92, 268/21, 149/808 is
LCM of Numerators i.e. for 97,268,149 is 3873404
GCF of denominators i.e. for 92,21,808 is 1.
Thus, LCM of Fractions is 3873404.Finally, LCM of Fractions for 97/92, 268/21, 149/808 is 3873404.