LCM of 638, 192, 696, 507, 580
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 638, 192, 696, 507, 580 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 638, 192, 696, 507, 580. So, keep reading to learn more.
Given numbers are 638,192,696,507,580
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 638,192,696,507,580 is 51754560.
Find LCM of 638,192,696,507,580 with Prime Factorization
| 2 | 638, 192, 696, 507, 580 |
| 2 | 319, 96, 348, 507, 290 |
| 2 | 319, 48, 174, 507, 145 |
| 3 | 319, 24, 87, 507, 145 |
| 29 | 319, 8, 29, 169, 145 |
| 11, 8, 1, 169, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 29 x 11 x 8 x 1 x 169 x 5 = 51754560
Therefore, the lowest common multiple of 638,192,696,507,580 is 51754560.
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.
638 x 192 x 696 x 507 x 580 = 25070736936960
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.
638 : 1, 2, 11, 22, 29, 58, 319, 638
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
507 : 1, 3, 13, 39, 169, 507
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,192,696,507,580, is 1.
Now, the common factors can be found like this.
638:2x 11x 29
192:2x 2x 2x 2x 2x 2x 3
696:2x 2x 2x 3x 29
507:3x 13x 13
580:2x 2x 5x 29
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 29x 29 = 484416
Therefore, the value for common factors is 484416.
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 = 25070736936960/(1x484416)
LCM = 25070736936960/484416
LCM = 51754560
Thus, we can understand that the LCM of 638,192,696,507,580 is 51754560.
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FAQs on LCM of 638, 192, 696, 507, 580
1. What is the LCM of 638, 192, 696, 507, 580?
Answer: LCM of 638, 192, 696, 507, 580 is 51754560.
2. How to calculate the LCM of 638, 192, 696, 507, 580?
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 638, 192, 696, 507, 580.
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}.