LCM of 583, 671, 788, 432, 368
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 583, 671, 788, 432, 368 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, 671, 788, 432, 368. So, keep reading to learn more.
Given numbers are 583,671,788,432,368
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 583,671,788,432,368 is 69610731696.
Find LCM of 583,671,788,432,368 with Prime Factorization
| 2 | 583, 671, 788, 432, 368 |
| 2 | 583, 671, 394, 216, 184 |
| 2 | 583, 671, 197, 108, 92 |
| 2 | 583, 671, 197, 54, 46 |
| 11 | 583, 671, 197, 27, 23 |
| 53, 61, 197, 27, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 11 x 53 x 61 x 197 x 27 x 23 = 69610731696
Therefore, the lowest common multiple of 583,671,788,432,368 is 69610731696.
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 671 x 788 x 432 x 368 = 49005955113984
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
671 : 1, 11, 61, 671
788 : 1, 2, 4, 197, 394, 788
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,671,788,432,368, is 1.
Now, the common factors can be found like this.
583:11x 53
671:11x 61
788:2x 2x 197
432:2x 2x 2x 2x 3x 3x 3
368:2x 2x 2x 2x 23
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 11 = 704
Therefore, the value for common factors is 704.
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 = 49005955113984/(1x704)
LCM = 49005955113984/704
LCM = 69610731696
Thus, we can understand that the LCM of 583,671,788,432,368 is 69610731696.
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FAQs on LCM of 583, 671, 788, 432, 368
1. What is the LCM of 583, 671, 788, 432, 368?
Answer: LCM of 583, 671, 788, 432, 368 is 69610731696.
2. How to calculate the LCM of 583, 671, 788, 432, 368?
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, 671, 788, 432, 368.
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}.