LCM of 441, 321, 288, 343
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 441, 321, 288, 343 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 441, 321, 288, 343. So, keep reading to learn more.
Given numbers are 441,321,288,343
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 441,321,288,343 is 10569888.
Find LCM of 441,321,288,343 with Prime Factorization
| 3 | 441, 321, 288, 343 |
| 3 | 147, 107, 96, 343 |
| 7 | 49, 107, 32, 343 |
| 7 | 7, 107, 32, 49 |
| 1, 107, 32, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 7 x 1 x 107 x 32 x 7 = 10569888
Therefore, the lowest common multiple of 441,321,288,343 is 10569888.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
441 x 321 x 288 x 343 = 13983961824
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
321 : 1, 3, 107, 321
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
343 : 1, 7, 49, 343
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 441,321,288,343, is 1.
Now, the common factors can be found like this.
441:3x 3x 7x 7
321:3x 107
288:2x 2x 2x 2x 2x 3x 3
343:7x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 7x 7 = 1323
Therefore, the value for common factors is 1323.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 13983961824/(1x1323)
LCM = 13983961824/1323
LCM = 10569888
Thus, we can understand that the LCM of 441,321,288,343 is 10569888.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 441, 321, 288, 343
1. What is the LCM of 441, 321, 288, 343?
Answer: LCM of 441, 321, 288, 343 is 10569888.
2. How to calculate the LCM of 441, 321, 288, 343?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 441, 321, 288, 343.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.