LCM of 441, 128, 513, 304, 547
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 441, 128, 513, 304, 547 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, 128, 513, 304, 547. So, keep reading to learn more.
Given numbers are 441,128,513,304,547
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 441,128,513,304,547 is 1759992192.
Find LCM of 441,128,513,304,547 with Prime Factorization
| 2 | 441, 128, 513, 304, 547 |
| 2 | 441, 64, 513, 152, 547 |
| 2 | 441, 32, 513, 76, 547 |
| 2 | 441, 16, 513, 38, 547 |
| 3 | 441, 8, 513, 19, 547 |
| 3 | 147, 8, 171, 19, 547 |
| 19 | 49, 8, 57, 19, 547 |
| 49, 8, 3, 1, 547 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 19 x 49 x 8 x 3 x 1 x 547 = 1759992192
Therefore, the lowest common multiple of 441,128,513,304,547 is 1759992192.
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 128 x 513 x 304 x 547 = 4815338637312
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
128 : 1, 2, 4, 8, 16, 32, 64, 128
513 : 1, 3, 9, 19, 27, 57, 171, 513
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
547 : 1, 547
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 441,128,513,304,547, is 1.
Now, the common factors can be found like this.
441:3x 3x 7x 7
128:2x 2x 2x 2x 2x 2x 2
513:3x 3x 3x 19
304:2x 2x 2x 2x 19
547:547
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 3x 19 = 2736
Therefore, the value for common factors is 2736.
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 = 4815338637312/(1x2736)
LCM = 4815338637312/2736
LCM = 1759992192
Thus, we can understand that the LCM of 441,128,513,304,547 is 1759992192.
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FAQs on LCM of 441, 128, 513, 304, 547
1. What is the LCM of 441, 128, 513, 304, 547?
Answer: LCM of 441, 128, 513, 304, 547 is 1759992192.
2. How to calculate the LCM of 441, 128, 513, 304, 547?
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, 128, 513, 304, 547.
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}.