Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/745, 197/171, 808/936 quickly i.e. 7481272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/745, 197/171, 808/936 is 7481272.
LCM(94/745, 197/171, 808/936) = 7481272
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/745,197/171,808/936
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 94,197,808
Least Common Multiple of Numerators i.e. LCM of 94,197,808 is 7481272.
GCF of Denominators means GCF of 745,171,936 as per the given fractions.
GCF of 745,171,936 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,197,808
2 | 94, 197, 808 |
47, 197, 404 |
∴ So the LCM of the given numbers is 2 x 47 x 197 x 404 = 7481272
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 94,197,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,197,808) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(94,197,808) x common factors =1 x 2 = 2
LCM(94,197,808) = ( 94 × 197 × 808 ) / 2
LCM(94,197,808) = 14962544 / 2
LCM(94,197,808) = 7481272
Lets's calculate GCF of 745,171,936
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7481272/1
Therefore the LCM of Fractions 94/745,197/171,808/936 is 7481272
Factors of 745
List of positive integer factors of 745 that divides 745 without a remainder.
1,5,149,745
Factors of 171
List of positive integer factors of 171 that divides 171 without a remainder.
1,3,9,19,57,171
Factors of 936
List of positive integer factors of 936 that divides 936 without a remainder.
1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936
Greatest Common Factor
We found the factors 745,171,936 . The biggest common factor number is the GCF number.
So the greatest common factor 745,171,936 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 94/745, 197/171, 808/936?
Answer: LCM of Numerators as per given numbers 94/745, 197/171, 808/936 is
LCM of Numerators i.e. for 94,197,808 is 7481272
GCF of denominators i.e. for 745,171,936 is 1.
Thus, LCM of Fractions is 7481272.Finally, LCM of Fractions for 94/745, 197/171, 808/936 is 7481272.