Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 239/38, 554/11, 988/430 quickly i.e. 65408564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 239/38, 554/11, 988/430 is 65408564.
LCM(239/38, 554/11, 988/430) = 65408564
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 239/38,554/11,988/430
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 239,554,988
Least Common Multiple of Numerators i.e. LCM of 239,554,988 is 65408564.
GCF of Denominators means GCF of 38,11,430 as per the given fractions.
GCF of 38,11,430 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 239,554,988
2 | 239, 554, 988 |
239, 277, 494 |
∴ So the LCM of the given numbers is 2 x 239 x 277 x 494 = 65408564
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 239,554,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(239,554,988) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(239,554,988) x common factors =1 x 2 = 2
LCM(239,554,988) = ( 239 × 554 × 988 ) / 2
LCM(239,554,988) = 130817128 / 2
LCM(239,554,988) = 65408564
Lets's calculate GCF of 38,11,430
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65408564/1
Therefore the LCM of Fractions 239/38,554/11,988/430 is 65408564
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 430
List of positive integer factors of 430 that divides 430 without a remainder.
1,2,5,10,43,86,215,430
Greatest Common Factor
We found the factors 38,11,430 . The biggest common factor number is the GCF number.
So the greatest common factor 38,11,430 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 239/38, 554/11, 988/430?
Answer: LCM of Numerators as per given numbers 239/38, 554/11, 988/430 is
LCM of Numerators i.e. for 239,554,988 is 65408564
GCF of denominators i.e. for 38,11,430 is 1.
Thus, LCM of Fractions is 65408564.Finally, LCM of Fractions for 239/38, 554/11, 988/430 is 65408564.