LCM of 460, 215, 904, 961, 339
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 460, 215, 904, 961, 339 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 460, 215, 904, 961, 339. So, keep reading to learn more.
Given numbers are 460,215,904,961,339
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 460,215,904,961,339 is 12887817240.
Find LCM of 460,215,904,961,339 with Prime Factorization
| 2 | 460, 215, 904, 961, 339 |
| 2 | 230, 215, 452, 961, 339 |
| 5 | 115, 215, 226, 961, 339 |
| 113 | 23, 43, 226, 961, 339 |
| 23, 43, 2, 961, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 113 x 23 x 43 x 2 x 961 x 3 = 12887817240
Therefore, the lowest common multiple of 460,215,904,961,339 is 12887817240.
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.
460 x 215 x 904 x 961 x 339 = 29126466962400
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.
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
215 : 1, 5, 43, 215
904 : 1, 2, 4, 8, 113, 226, 452, 904
961 : 1, 31, 961
339 : 1, 3, 113, 339
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,215,904,961,339, is 1.
Now, the common factors can be found like this.
460:2x 2x 5x 23
215:5x 43
904:2x 2x 2x 113
961:31x 31
339:3x 113
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 113 = 2260
Therefore, the value for common factors is 2260.
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 = 29126466962400/(1x2260)
LCM = 29126466962400/2260
LCM = 12887817240
Thus, we can understand that the LCM of 460,215,904,961,339 is 12887817240.
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FAQs on LCM of 460, 215, 904, 961, 339
1. What is the LCM of 460, 215, 904, 961, 339?
Answer: LCM of 460, 215, 904, 961, 339 is 12887817240.
2. How to calculate the LCM of 460, 215, 904, 961, 339?
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 460, 215, 904, 961, 339.
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}.