Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 183/979, 775/836, 201/385 quickly i.e. 9502275/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 183/979, 775/836, 201/385 is 9502275/11.
LCM(183/979, 775/836, 201/385) = 9502275/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 183/979,775/836,201/385
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 183,775,201
Least Common Multiple of Numerators i.e. LCM of 183,775,201 is 9502275.
GCF of Denominators means GCF of 979,836,385 as per the given fractions.
GCF of 979,836,385 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 183,775,201
3 | 183, 775, 201 |
61, 775, 67 |
∴ So the LCM of the given numbers is 3 x 61 x 775 x 67 = 9502275
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 183,775,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(183,775,201) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(183,775,201) x common factors =1 x 3 = 3
LCM(183,775,201) = ( 183 × 775 × 201 ) / 3
LCM(183,775,201) = 28506825 / 3
LCM(183,775,201) = 9502275
Lets's calculate GCF of 979,836,385
11 | 979, 836, 385 |
89, 76, 35 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9502275/11
Therefore the LCM of Fractions 183/979,775/836,201/385 is 9502275/11
Factors of 979
List of positive integer factors of 979 that divides 979 without a remainder.
1,11,89,979
Factors of 836
List of positive integer factors of 836 that divides 836 without a remainder.
1,2,4,11,19,22,38,44,76,209,418,836
Factors of 385
List of positive integer factors of 385 that divides 385 without a remainder.
1,5,7,11,35,55,77,385
Greatest Common Factor
We found the factors 979,836,385 . The biggest common factor number is the GCF number.
So the greatest common factor 979,836,385 is 11.
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 183/979, 775/836, 201/385?
Answer: LCM of Numerators as per given numbers 183/979, 775/836, 201/385 is
LCM of Numerators i.e. for 183,775,201 is 9502275
GCF of denominators i.e. for 979,836,385 is 11.
Thus, LCM of Fractions is 9502275/11.Finally, LCM of Fractions for 183/979, 775/836, 201/385 is 9502275/11.