Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 788/12, 3789/134 quickly i.e. 1492866 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 788/12, 3789/134 is 1492866.
LCM(788/12, 3789/134) = 1492866
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 788/12,3789/134
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 788,3789
Least Common Multiple of Numerators i.e. LCM of 788,3789 is 2985732.
GCF of Denominators means GCF of 12,134 as per the given fractions.
GCF of 12,134 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 788,3789
Given numbers has no common factors except 1. So, there LCM is their product i.e 2985732
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 788,3789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(788,3789) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(788,3789) x common factors =1 x 1 = 1
LCM(788,3789) = ( 788 × 3789 ) / 1
LCM(788,3789) = 2985732 / 1
LCM(788,3789) = 2985732
Lets's calculate GCF of 12,134
2 | 12, 134 |
6, 67 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2985732/2
Therefore the LCM of Fractions 788/12,3789/134 is 1492866
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1,2,67,134
Greatest Common Factor
We found the factors 12,134 . The biggest common factor number is the GCF number.
So the greatest common factor 12,134 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 788/12, 3789/134?
Answer: LCM of Numerators as per given numbers 788/12, 3789/134 is
LCM of Numerators i.e. for 788,3789 is 2985732
GCF of denominators i.e. for 12,134 is 2.
Thus, LCM of Fractions is 1492866.Finally, LCM of Fractions for 788/12, 3789/134 is 1492866.