LCM of 552, 768, 391, 558, 578
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 552, 768, 391, 558, 578 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 552, 768, 391, 558, 578. So, keep reading to learn more.
Given numbers are 552,768,391,558,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 552,768,391,558,578 is 474755328.
Find LCM of 552,768,391,558,578 with Prime Factorization
| 2 | 552, 768, 391, 558, 578 |
| 2 | 276, 384, 391, 279, 289 |
| 2 | 138, 192, 391, 279, 289 |
| 3 | 69, 96, 391, 279, 289 |
| 17 | 23, 32, 391, 93, 289 |
| 23 | 23, 32, 23, 93, 17 |
| 1, 32, 1, 93, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 23 x 1 x 32 x 1 x 93 x 17 = 474755328
Therefore, the lowest common multiple of 552,768,391,558,578 is 474755328.
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.
552 x 768 x 391 x 558 x 578 = 53461247975424
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.
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
391 : 1, 17, 23, 391
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
578 : 1, 2, 17, 34, 289, 578
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,768,391,558,578, is 1.
Now, the common factors can be found like this.
552:2x 2x 2x 3x 23
768:2x 2x 2x 2x 2x 2x 2x 2x 3
391:17x 23
558:2x 3x 3x 31
578:2x 17x 17
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 3x 3x 17x 23 = 112608
Therefore, the value for common factors is 112608.
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 = 53461247975424/(1x112608)
LCM = 53461247975424/112608
LCM = 474755328
Thus, we can understand that the LCM of 552,768,391,558,578 is 474755328.
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FAQs on LCM of 552, 768, 391, 558, 578
1. What is the LCM of 552, 768, 391, 558, 578?
Answer: LCM of 552, 768, 391, 558, 578 is 474755328.
2. How to calculate the LCM of 552, 768, 391, 558, 578?
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 552, 768, 391, 558, 578.
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}.