LCM of 583, 468, 638, 518, 996
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 583, 468, 638, 518, 996 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, 468, 638, 518, 996. So, keep reading to learn more.
Given numbers are 583,468,638,518,996
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 583,468,638,518,996 is 170094496572.
Find LCM of 583,468,638,518,996 with Prime Factorization
| 2 | 583, 468, 638, 518, 996 |
| 2 | 583, 234, 319, 259, 498 |
| 3 | 583, 117, 319, 259, 249 |
| 11 | 583, 39, 319, 259, 83 |
| 53, 39, 29, 259, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 53 x 39 x 29 x 259 x 83 = 170094496572
Therefore, the lowest common multiple of 583,468,638,518,996 is 170094496572.
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 468 x 638 x 518 x 996 = 89809894190016
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
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
638 : 1, 2, 11, 22, 29, 58, 319, 638
518 : 1, 2, 7, 14, 37, 74, 259, 518
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,468,638,518,996, is 1.
Now, the common factors can be found like this.
583:11x 53
468:2x 2x 3x 3x 13
638:2x 11x 29
518:2x 7x 37
996:2x 2x 3x 83
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 11 = 528
Therefore, the value for common factors is 528.
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 = 89809894190016/(1x528)
LCM = 89809894190016/528
LCM = 170094496572
Thus, we can understand that the LCM of 583,468,638,518,996 is 170094496572.
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FAQs on LCM of 583, 468, 638, 518, 996
1. What is the LCM of 583, 468, 638, 518, 996?
Answer: LCM of 583, 468, 638, 518, 996 is 170094496572.
2. How to calculate the LCM of 583, 468, 638, 518, 996?
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, 468, 638, 518, 996.
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}.