LCM of 671, 130, 610, 591, 462
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 671, 130, 610, 591, 462 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 671, 130, 610, 591, 462. So, keep reading to learn more.
Given numbers are 671,130,610,591,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,130,610,591,462 is 360870510.
Find LCM of 671,130,610,591,462 with Prime Factorization
| 2 | 671, 130, 610, 591, 462 |
| 3 | 671, 65, 305, 591, 231 |
| 5 | 671, 65, 305, 197, 77 |
| 11 | 671, 13, 61, 197, 77 |
| 61 | 61, 13, 61, 197, 7 |
| 1, 13, 1, 197, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 61 x 1 x 13 x 1 x 197 x 7 = 360870510
Therefore, the lowest common multiple of 671,130,610,591,462 is 360870510.
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.
671 x 130 x 610 x 591 x 462 = 14528646732600
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.
671 : 1, 11, 61, 671
130 : 1, 2, 5, 10, 13, 26, 65, 130
610 : 1, 2, 5, 10, 61, 122, 305, 610
591 : 1, 3, 197, 591
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,130,610,591,462, is 1.
Now, the common factors can be found like this.
671:11x 61
130:2x 5x 13
610:2x 5x 61
591:3x 197
462:2x 3x 7x 11
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 5x 11x 61 = 40260
Therefore, the value for common factors is 40260.
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 = 14528646732600/(1x40260)
LCM = 14528646732600/40260
LCM = 360870510
Thus, we can understand that the LCM of 671,130,610,591,462 is 360870510.
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FAQs on LCM of 671, 130, 610, 591, 462
1. What is the LCM of 671, 130, 610, 591, 462?
Answer: LCM of 671, 130, 610, 591, 462 is 360870510.
2. How to calculate the LCM of 671, 130, 610, 591, 462?
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 671, 130, 610, 591, 462.
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}.