Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/816, 54/402, 203/182 quickly i.e. 202797 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 37/816, 54/402, 203/182 is 202797.
LCM(37/816, 54/402, 203/182) = 202797
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/816,54/402,203/182
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 37,54,203
Least Common Multiple of Numerators i.e. LCM of 37,54,203 is 405594.
GCF of Denominators means GCF of 816,402,182 as per the given fractions.
GCF of 816,402,182 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,54,203
Given numbers has no common factors except 1. So, there LCM is their product i.e 405594
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 37,54,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,54,203) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,54,203) x common factors =1 x 1 = 1
LCM(37,54,203) = ( 37 × 54 × 203 ) / 1
LCM(37,54,203) = 405594 / 1
LCM(37,54,203) = 405594
Lets's calculate GCF of 816,402,182
2 | 816, 402, 182 |
408, 201, 91 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 405594/2
Therefore the LCM of Fractions 37/816,54/402,203/182 is 202797
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 402
List of positive integer factors of 402 that divides 402 without a remainder.
1,2,3,6,67,134,201,402
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
Greatest Common Factor
We found the factors 816,402,182 . The biggest common factor number is the GCF number.
So the greatest common factor 816,402,182 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 37/816, 54/402, 203/182?
Answer: LCM of Numerators as per given numbers 37/816, 54/402, 203/182 is
LCM of Numerators i.e. for 37,54,203 is 405594
GCF of denominators i.e. for 816,402,182 is 2.
Thus, LCM of Fractions is 202797.Finally, LCM of Fractions for 37/816, 54/402, 203/182 is 202797.