LCM of 583, 754, 328, 288, 429
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 583, 754, 328, 288, 429 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 583, 754, 328, 288, 429. So, keep reading to learn more.
Given numbers are 583,754,328,288,429
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 583,754,328,288,429 is 2595292128.
Find LCM of 583,754,328,288,429 with Prime Factorization
| 2 | 583, 754, 328, 288, 429 |
| 2 | 583, 377, 164, 144, 429 |
| 2 | 583, 377, 82, 72, 429 |
| 3 | 583, 377, 41, 36, 429 |
| 11 | 583, 377, 41, 12, 143 |
| 13 | 53, 377, 41, 12, 13 |
| 53, 29, 41, 12, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 13 x 53 x 29 x 41 x 12 x 1 = 2595292128
Therefore, the lowest common multiple of 583,754,328,288,429 is 2595292128.
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.
583 x 754 x 328 x 288 x 429 = 17814085166592
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.
583 : 1, 11, 53, 583
754 : 1, 2, 13, 26, 29, 58, 377, 754
328 : 1, 2, 4, 8, 41, 82, 164, 328
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
429 : 1, 3, 11, 13, 33, 39, 143, 429
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,754,328,288,429, is 1.
Now, the common factors can be found like this.
583:11x 53
754:2x 13x 29
328:2x 2x 2x 41
288:2x 2x 2x 2x 2x 3x 3
429:3x 11x 13
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 11x 13 = 6864
Therefore, the value for common factors is 6864.
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 = 17814085166592/(1x6864)
LCM = 17814085166592/6864
LCM = 2595292128
Thus, we can understand that the LCM of 583,754,328,288,429 is 2595292128.
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FAQs on LCM of 583, 754, 328, 288, 429
1. What is the LCM of 583, 754, 328, 288, 429?
Answer: LCM of 583, 754, 328, 288, 429 is 2595292128.
2. How to calculate the LCM of 583, 754, 328, 288, 429?
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 583, 754, 328, 288, 429.
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}.