Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 238/45, 147/25, 354/369 quickly i.e. 294882 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 238/45, 147/25, 354/369 is 294882.
LCM(238/45, 147/25, 354/369) = 294882
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 238/45,147/25,354/369
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 238,147,354
Least Common Multiple of Numerators i.e. LCM of 238,147,354 is 294882.
GCF of Denominators means GCF of 45,25,369 as per the given fractions.
GCF of 45,25,369 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 238,147,354
2 | 238, 147, 354 |
3 | 119, 147, 177 |
7 | 119, 49, 59 |
17, 7, 59 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 17 x 7 x 59 = 294882
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 238,147,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(238,147,354) = 1
common factors(in case of two or more numbers have common factors) = 42
GCF(238,147,354) x common factors =1 x 42 = 42
LCM(238,147,354) = ( 238 × 147 × 354 ) / 42
LCM(238,147,354) = 12385044 / 42
LCM(238,147,354) = 294882
Lets's calculate GCF of 45,25,369
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 294882/1
Therefore the LCM of Fractions 238/45,147/25,354/369 is 294882
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 369
List of positive integer factors of 369 that divides 369 without a remainder.
1,3,9,41,123,369
Greatest Common Factor
We found the factors 45,25,369 . The biggest common factor number is the GCF number.
So the greatest common factor 45,25,369 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 238/45, 147/25, 354/369?
Answer: LCM of Numerators as per given numbers 238/45, 147/25, 354/369 is
LCM of Numerators i.e. for 238,147,354 is 294882
GCF of denominators i.e. for 45,25,369 is 1.
Thus, LCM of Fractions is 294882.Finally, LCM of Fractions for 238/45, 147/25, 354/369 is 294882.