Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 234/37, 134/3144 quickly i.e. 15678 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 234/37, 134/3144 is 15678.
LCM(234/37, 134/3144) = 15678
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 234/37,134/3144
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 234,134
Least Common Multiple of Numerators i.e. LCM of 234,134 is 15678.
GCF of Denominators means GCF of 37,3144 as per the given fractions.
GCF of 37,3144 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 234,134
2 | 234, 134 |
117, 67 |
∴ So the LCM of the given numbers is 2 x 117 x 67 = 15678
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 234,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(234,134) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(234,134) x common factors =2 x 1 = 2
LCM(234,134) = ( 234 × 134 ) / 2
LCM(234,134) = 31356 / 2
LCM(234,134) = 15678
Lets's calculate GCF of 37,3144
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15678/1
Therefore the LCM of Fractions 234/37,134/3144 is 15678
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 3144
List of positive integer factors of 3144 that divides 3144 without a remainder.
1,2,3,4,6,8,12,24,131,262,393,524,786,1048,1572,3144
Greatest Common Factor
We found the factors 37,3144 . The biggest common factor number is the GCF number.
So the greatest common factor 37,3144 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 234/37, 134/3144?
Answer: LCM of Numerators as per given numbers 234/37, 134/3144 is
LCM of Numerators i.e. for 234,134 is 15678
GCF of denominators i.e. for 37,3144 is 1.
Thus, LCM of Fractions is 15678.Finally, LCM of Fractions for 234/37, 134/3144 is 15678.