Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 239/30, 512/88, 544/837 quickly i.e. 2080256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 239/30, 512/88, 544/837 is 2080256.
LCM(239/30, 512/88, 544/837) = 2080256
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 239/30,512/88,544/837
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 239,512,544
Least Common Multiple of Numerators i.e. LCM of 239,512,544 is 2080256.
GCF of Denominators means GCF of 30,88,837 as per the given fractions.
GCF of 30,88,837 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 239,512,544
2 | 239, 512, 544 |
2 | 239, 256, 272 |
2 | 239, 128, 136 |
2 | 239, 64, 68 |
2 | 239, 32, 34 |
239, 16, 17 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 239 x 16 x 17 = 2080256
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 239,512,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(239,512,544) = 1
common factors(in case of two or more numbers have common factors) = 32
GCF(239,512,544) x common factors =1 x 32 = 32
LCM(239,512,544) = ( 239 × 512 × 544 ) / 32
LCM(239,512,544) = 66568192 / 32
LCM(239,512,544) = 2080256
Lets's calculate GCF of 30,88,837
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2080256/1
Therefore the LCM of Fractions 239/30,512/88,544/837 is 2080256
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 837
List of positive integer factors of 837 that divides 837 without a remainder.
1,3,9,27,31,93,279,837
Greatest Common Factor
We found the factors 30,88,837 . The biggest common factor number is the GCF number.
So the greatest common factor 30,88,837 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 239/30, 512/88, 544/837?
Answer: LCM of Numerators as per given numbers 239/30, 512/88, 544/837 is
LCM of Numerators i.e. for 239,512,544 is 2080256
GCF of denominators i.e. for 30,88,837 is 1.
Thus, LCM of Fractions is 2080256.Finally, LCM of Fractions for 239/30, 512/88, 544/837 is 2080256.