Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 23/274, 11/837, 188/616 quickly i.e. 47564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 23/274, 11/837, 188/616 is 47564.
LCM(23/274, 11/837, 188/616) = 47564
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 23/274,11/837,188/616
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 23,11,188
Least Common Multiple of Numerators i.e. LCM of 23,11,188 is 47564.
GCF of Denominators means GCF of 274,837,616 as per the given fractions.
GCF of 274,837,616 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 23,11,188
Given numbers has no common factors except 1. So, there LCM is their product i.e 47564
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 23,11,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,11,188) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,11,188) x common factors =1 x 1 = 1
LCM(23,11,188) = ( 23 × 11 × 188 ) / 1
LCM(23,11,188) = 47564 / 1
LCM(23,11,188) = 47564
Lets's calculate GCF of 274,837,616
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47564/1
Therefore the LCM of Fractions 23/274,11/837,188/616 is 47564
Factors of 274
List of positive integer factors of 274 that divides 274 without a remainder.
1,2,137,274
Factors of 837
List of positive integer factors of 837 that divides 837 without a remainder.
1,3,9,27,31,93,279,837
Factors of 616
List of positive integer factors of 616 that divides 616 without a remainder.
1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Greatest Common Factor
We found the factors 274,837,616 . The biggest common factor number is the GCF number.
So the greatest common factor 274,837,616 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 23/274, 11/837, 188/616?
Answer: LCM of Numerators as per given numbers 23/274, 11/837, 188/616 is
LCM of Numerators i.e. for 23,11,188 is 47564
GCF of denominators i.e. for 274,837,616 is 1.
Thus, LCM of Fractions is 47564.Finally, LCM of Fractions for 23/274, 11/837, 188/616 is 47564.