Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 156/358, 4539/238 quickly i.e. 118014 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 156/358, 4539/238 is 118014.
LCM(156/358, 4539/238) = 118014
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 156/358,4539/238
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 156,4539
Least Common Multiple of Numerators i.e. LCM of 156,4539 is 236028.
GCF of Denominators means GCF of 358,238 as per the given fractions.
GCF of 358,238 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 156,4539
3 | 156, 4539 |
52, 1513 |
∴ So the LCM of the given numbers is 3 x 52 x 1513 = 236028
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 156,4539 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(156,4539) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(156,4539) x common factors =3 x 1 = 3
LCM(156,4539) = ( 156 × 4539 ) / 3
LCM(156,4539) = 708084 / 3
LCM(156,4539) = 236028
Lets's calculate GCF of 358,238
2 | 358, 238 |
179, 119 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 236028/2
Therefore the LCM of Fractions 156/358,4539/238 is 118014
Factors of 358
List of positive integer factors of 358 that divides 358 without a remainder.
1,2,179,358
Factors of 238
List of positive integer factors of 238 that divides 238 without a remainder.
1,2,7,14,17,34,119,238
Greatest Common Factor
We found the factors 358,238 . The biggest common factor number is the GCF number.
So the greatest common factor 358,238 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 156/358, 4539/238?
Answer: LCM of Numerators as per given numbers 156/358, 4539/238 is
LCM of Numerators i.e. for 156,4539 is 236028
GCF of denominators i.e. for 358,238 is 2.
Thus, LCM of Fractions is 118014.Finally, LCM of Fractions for 156/358, 4539/238 is 118014.