Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 479/960, 432/937, 399/552 quickly i.e. 27521424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 479/960, 432/937, 399/552 is 27521424.
LCM(479/960, 432/937, 399/552) = 27521424
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 479/960,432/937,399/552
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 479,432,399
Least Common Multiple of Numerators i.e. LCM of 479,432,399 is 27521424.
GCF of Denominators means GCF of 960,937,552 as per the given fractions.
GCF of 960,937,552 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 479,432,399
3 | 479, 432, 399 |
479, 144, 133 |
∴ So the LCM of the given numbers is 3 x 479 x 144 x 133 = 27521424
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 479,432,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(479,432,399) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(479,432,399) x common factors =1 x 3 = 3
LCM(479,432,399) = ( 479 × 432 × 399 ) / 3
LCM(479,432,399) = 82564272 / 3
LCM(479,432,399) = 27521424
Lets's calculate GCF of 960,937,552
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27521424/1
Therefore the LCM of Fractions 479/960,432/937,399/552 is 27521424
Factors of 960
List of positive integer factors of 960 that divides 960 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960
Factors of 937
List of positive integer factors of 937 that divides 937 without a remainder.
1,937
Factors of 552
List of positive integer factors of 552 that divides 552 without a remainder.
1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Greatest Common Factor
We found the factors 960,937,552 . The biggest common factor number is the GCF number.
So the greatest common factor 960,937,552 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 479/960, 432/937, 399/552?
Answer: LCM of Numerators as per given numbers 479/960, 432/937, 399/552 is
LCM of Numerators i.e. for 479,432,399 is 27521424
GCF of denominators i.e. for 960,937,552 is 1.
Thus, LCM of Fractions is 27521424.Finally, LCM of Fractions for 479/960, 432/937, 399/552 is 27521424.