LCM of 605, 457, 439, 924, 460
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 605, 457, 439, 924, 460 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 605, 457, 439, 924, 460. So, keep reading to learn more.
Given numbers are 605,457,439,924,460
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,457,439,924,460 is 234500199780.
Find LCM of 605,457,439,924,460 with Prime Factorization
| 2 | 605, 457, 439, 924, 460 |
| 2 | 605, 457, 439, 462, 230 |
| 5 | 605, 457, 439, 231, 115 |
| 11 | 121, 457, 439, 231, 23 |
| 11, 457, 439, 21, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 11 x 457 x 439 x 21 x 23 = 234500199780
Therefore, the lowest common multiple of 605,457,439,924,460 is 234500199780.
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.
605 x 457 x 439 x 924 x 460 = 51590043951600
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.
605 : 1, 5, 11, 55, 121, 605
457 : 1, 457
439 : 1, 439
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,457,439,924,460, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
457:457
439:439
924:2x 2x 3x 7x 11
460:2x 2x 5x 23
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 11 = 220
Therefore, the value for common factors is 220.
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 = 51590043951600/(1x220)
LCM = 51590043951600/220
LCM = 234500199780
Thus, we can understand that the LCM of 605,457,439,924,460 is 234500199780.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 605, 457, 439, 924, 460
1. What is the LCM of 605, 457, 439, 924, 460?
Answer: LCM of 605, 457, 439, 924, 460 is 234500199780.
2. How to calculate the LCM of 605, 457, 439, 924, 460?
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 605, 457, 439, 924, 460.
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}.