LCM of 689, 830, 494, 446, 415
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 830, 494, 446, 415 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 689, 830, 494, 446, 415. So, keep reading to learn more.
Given numbers are 689,830,494,446,415
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,830,494,446,415 is 2423013190.
Find LCM of 689,830,494,446,415 with Prime Factorization
| 2 | 689, 830, 494, 446, 415 |
| 5 | 689, 415, 247, 223, 415 |
| 13 | 689, 83, 247, 223, 83 |
| 83 | 53, 83, 19, 223, 83 |
| 53, 1, 19, 223, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 83 x 53 x 1 x 19 x 223 x 1 = 2423013190
Therefore, the lowest common multiple of 689,830,494,446,415 is 2423013190.
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.
689 x 830 x 494 x 446 x 415 = 52288624640200
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.
689 : 1, 13, 53, 689
830 : 1, 2, 5, 10, 83, 166, 415, 830
494 : 1, 2, 13, 19, 26, 38, 247, 494
446 : 1, 2, 223, 446
415 : 1, 5, 83, 415
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,830,494,446,415, is 1.
Now, the common factors can be found like this.
689:13x 53
830:2x 5x 83
494:2x 13x 19
446:2x 223
415:5x 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 5x 13x 83 = 21580
Therefore, the value for common factors is 21580.
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 = 52288624640200/(1x21580)
LCM = 52288624640200/21580
LCM = 2423013190
Thus, we can understand that the LCM of 689,830,494,446,415 is 2423013190.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 689, 830, 494, 446, 415
1. What is the LCM of 689, 830, 494, 446, 415?
Answer: LCM of 689, 830, 494, 446, 415 is 2423013190.
2. How to calculate the LCM of 689, 830, 494, 446, 415?
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 689, 830, 494, 446, 415.
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}.