LCM of 581, 377, 462, 406, 102
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 581, 377, 462, 406, 102 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 581, 377, 462, 406, 102. So, keep reading to learn more.
Given numbers are 581,377,462,406,102
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 581,377,462,406,102 is 245759514.
Find LCM of 581,377,462,406,102 with Prime Factorization
| 2 | 581, 377, 462, 406, 102 |
| 3 | 581, 377, 231, 203, 51 |
| 7 | 581, 377, 77, 203, 17 |
| 29 | 83, 377, 11, 29, 17 |
| 83, 13, 11, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 29 x 83 x 13 x 11 x 1 x 17 = 245759514
Therefore, the lowest common multiple of 581,377,462,406,102 is 245759514.
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.
581 x 377 x 462 x 406 x 102 = 4190691232728
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.
581 : 1, 7, 83, 581
377 : 1, 13, 29, 377
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
406 : 1, 2, 7, 14, 29, 58, 203, 406
102 : 1, 2, 3, 6, 17, 34, 51, 102
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 581,377,462,406,102, is 1.
Now, the common factors can be found like this.
581:7x 83
377:13x 29
462:2x 3x 7x 11
406:2x 7x 29
102:2x 3x 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 3x 7x 7x 29 = 17052
Therefore, the value for common factors is 17052.
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 = 4190691232728/(1x17052)
LCM = 4190691232728/17052
LCM = 245759514
Thus, we can understand that the LCM of 581,377,462,406,102 is 245759514.
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FAQs on LCM of 581, 377, 462, 406, 102
1. What is the LCM of 581, 377, 462, 406, 102?
Answer: LCM of 581, 377, 462, 406, 102 is 245759514.
2. How to calculate the LCM of 581, 377, 462, 406, 102?
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 581, 377, 462, 406, 102.
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}.