LCM of 578, 441, 288, 924, 218
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 578, 441, 288, 924, 218 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 578, 441, 288, 924, 218. So, keep reading to learn more.
Given numbers are 578,441,288,924,218
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,441,288,924,218 is 4889963232.
Find LCM of 578,441,288,924,218 with Prime Factorization
| 2 | 578, 441, 288, 924, 218 |
| 2 | 289, 441, 144, 462, 109 |
| 3 | 289, 441, 72, 231, 109 |
| 3 | 289, 147, 24, 77, 109 |
| 7 | 289, 49, 8, 77, 109 |
| 289, 7, 8, 11, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 289 x 7 x 8 x 11 x 109 = 4889963232
Therefore, the lowest common multiple of 578,441,288,924,218 is 4889963232.
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.
578 x 441 x 288 x 924 x 218 = 14787248813568
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.
578 : 1, 2, 17, 34, 289, 578
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
218 : 1, 2, 109, 218
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,441,288,924,218, is 1.
Now, the common factors can be found like this.
578:2x 17x 17
441:3x 3x 7x 7
288:2x 2x 2x 2x 2x 3x 3
924:2x 2x 3x 7x 11
218:2x 109
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 3x 7 = 3024
Therefore, the value for common factors is 3024.
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 = 14787248813568/(1x3024)
LCM = 14787248813568/3024
LCM = 4889963232
Thus, we can understand that the LCM of 578,441,288,924,218 is 4889963232.
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FAQs on LCM of 578, 441, 288, 924, 218
1. What is the LCM of 578, 441, 288, 924, 218?
Answer: LCM of 578, 441, 288, 924, 218 is 4889963232.
2. How to calculate the LCM of 578, 441, 288, 924, 218?
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 578, 441, 288, 924, 218.
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}.