Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 169/12, 188/914 quickly i.e. 15886 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 169/12, 188/914 is 15886.
LCM(169/12, 188/914) = 15886
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 169/12,188/914
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 169,188
Least Common Multiple of Numerators i.e. LCM of 169,188 is 31772.
GCF of Denominators means GCF of 12,914 as per the given fractions.
GCF of 12,914 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 169,188
Given numbers has no common factors except 1. So, there LCM is their product i.e 31772
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 169,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(169,188) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(169,188) x common factors =1 x 1 = 1
LCM(169,188) = ( 169 × 188 ) / 1
LCM(169,188) = 31772 / 1
LCM(169,188) = 31772
Lets's calculate GCF of 12,914
2 | 12, 914 |
6, 457 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31772/2
Therefore the LCM of Fractions 169/12,188/914 is 15886
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 914
List of positive integer factors of 914 that divides 914 without a remainder.
1,2,457,914
Greatest Common Factor
We found the factors 12,914 . The biggest common factor number is the GCF number.
So the greatest common factor 12,914 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 169/12, 188/914?
Answer: LCM of Numerators as per given numbers 169/12, 188/914 is
LCM of Numerators i.e. for 169,188 is 31772
GCF of denominators i.e. for 12,914 is 2.
Thus, LCM of Fractions is 15886.Finally, LCM of Fractions for 169/12, 188/914 is 15886.