LCM of 359, 867, 629, 604, 468
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 359, 867, 629, 604, 468 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 359, 867, 629, 604, 468. So, keep reading to learn more.
Given numbers are 359,867,629,604,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 359,867,629,604,468 is 271279399716.
Find LCM of 359,867,629,604,468 with Prime Factorization
| 2 | 359, 867, 629, 604, 468 |
| 2 | 359, 867, 629, 302, 234 |
| 3 | 359, 867, 629, 151, 117 |
| 17 | 359, 289, 629, 151, 39 |
| 359, 17, 37, 151, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 359 x 17 x 37 x 151 x 39 = 271279399716
Therefore, the lowest common multiple of 359,867,629,604,468 is 271279399716.
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.
359 x 867 x 629 x 604 x 468 = 55340997542064
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.
359 : 1, 359
867 : 1, 3, 17, 51, 289, 867
629 : 1, 17, 37, 629
604 : 1, 2, 4, 151, 302, 604
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 359,867,629,604,468, is 1.
Now, the common factors can be found like this.
359:359
867:3x 17x 17
629:17x 37
604:2x 2x 151
468:2x 2x 3x 3x 13
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 17 = 204
Therefore, the value for common factors is 204.
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 = 55340997542064/(1x204)
LCM = 55340997542064/204
LCM = 271279399716
Thus, we can understand that the LCM of 359,867,629,604,468 is 271279399716.
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FAQs on LCM of 359, 867, 629, 604, 468
1. What is the LCM of 359, 867, 629, 604, 468?
Answer: LCM of 359, 867, 629, 604, 468 is 271279399716.
2. How to calculate the LCM of 359, 867, 629, 604, 468?
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 359, 867, 629, 604, 468.
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}.