LCM of 588, 432, 288, 489
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 588, 432, 288, 489 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 588, 432, 288, 489. So, keep reading to learn more.
Given numbers are 588,432,288,489
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 588,432,288,489 is 6900768.
Find LCM of 588,432,288,489 with Prime Factorization
| 2 | 588, 432, 288, 489 |
| 2 | 294, 216, 144, 489 |
| 2 | 147, 108, 72, 489 |
| 2 | 147, 54, 36, 489 |
| 3 | 147, 27, 18, 489 |
| 3 | 49, 9, 6, 163 |
| 49, 3, 2, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 49 x 3 x 2 x 163 = 6900768
Therefore, the lowest common multiple of 588,432,288,489 is 6900768.
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.
588 x 432 x 288 x 489 = 35773581312
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.
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
489 : 1, 3, 163, 489
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 588,432,288,489, is 3.
Now, the common factors can be found like this.
588:2x 2x 3x 7x 7
432:2x 2x 2x 2x 3x 3x 3
288:2x 2x 2x 2x 2x 3x 3
489:3x 163
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 2x 2x 3x 3x 3 = 1728
Therefore, the value for common factors is 1728.
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 = 35773581312/(3x1728)
LCM = 35773581312/5184
LCM = 6900768
Thus, we can understand that the LCM of 588,432,288,489 is 6900768.
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FAQs on LCM of 588, 432, 288, 489
1. What is the LCM of 588, 432, 288, 489?
Answer: LCM of 588, 432, 288, 489 is 6900768.
2. How to calculate the LCM of 588, 432, 288, 489?
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 588, 432, 288, 489.
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}.