Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 191/836, 253/816, 628/594 quickly i.e. 15173422 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 191/836, 253/816, 628/594 is 15173422.
LCM(191/836, 253/816, 628/594) = 15173422
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 191/836,253/816,628/594
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 191,253,628
Least Common Multiple of Numerators i.e. LCM of 191,253,628 is 30346844.
GCF of Denominators means GCF of 836,816,594 as per the given fractions.
GCF of 836,816,594 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 191,253,628
Given numbers has no common factors except 1. So, there LCM is their product i.e 30346844
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 191,253,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(191,253,628) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(191,253,628) x common factors =1 x 1 = 1
LCM(191,253,628) = ( 191 × 253 × 628 ) / 1
LCM(191,253,628) = 30346844 / 1
LCM(191,253,628) = 30346844
Lets's calculate GCF of 836,816,594
2 | 836, 816, 594 |
418, 408, 297 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30346844/2
Therefore the LCM of Fractions 191/836,253/816,628/594 is 15173422
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 816
List of positive integer factors of 816 that divides 816 without a remainder.
1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816
Factors of 594
List of positive integer factors of 594 that divides 594 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Greatest Common Factor
We found the factors 836,816,594 . The biggest common factor number is the GCF number.
So the greatest common factor 836,816,594 is 2.
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 191/836, 253/816, 628/594?
Answer: LCM of Numerators as per given numbers 191/836, 253/816, 628/594 is
LCM of Numerators i.e. for 191,253,628 is 30346844
GCF of denominators i.e. for 836,816,594 is 2.
Thus, LCM of Fractions is 15173422.Finally, LCM of Fractions for 191/836, 253/816, 628/594 is 15173422.