LCM of 584, 507, 624, 459, 648
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 584, 507, 624, 459, 648 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 584, 507, 624, 459, 648. So, keep reading to learn more.
Given numbers are 584,507,624,459,648
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 584,507,624,459,648 is 271808784.
Find LCM of 584,507,624,459,648 with Prime Factorization
| 2 | 584, 507, 624, 459, 648 |
| 2 | 292, 507, 312, 459, 324 |
| 2 | 146, 507, 156, 459, 162 |
| 3 | 73, 507, 78, 459, 81 |
| 3 | 73, 169, 26, 153, 27 |
| 3 | 73, 169, 26, 51, 9 |
| 13 | 73, 169, 26, 17, 3 |
| 73, 13, 2, 17, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 13 x 73 x 13 x 2 x 17 x 3 = 271808784
Therefore, the lowest common multiple of 584,507,624,459,648 is 271808784.
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.
584 x 507 x 624 x 459 x 648 = 54953212713984
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.
584 : 1, 2, 4, 8, 73, 146, 292, 584
507 : 1, 3, 13, 39, 169, 507
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
459 : 1, 3, 9, 17, 27, 51, 153, 459
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,507,624,459,648, is 1.
Now, the common factors can be found like this.
584:2x 2x 2x 73
507:3x 13x 13
624:2x 2x 2x 2x 3x 13
459:3x 3x 3x 17
648:2x 2x 2x 3x 3x 3x 3
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 2x 2x 2x 2x 3x 3x 3x 3x 3x 13 = 202176
Therefore, the value for common factors is 202176.
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 = 54953212713984/(1x202176)
LCM = 54953212713984/202176
LCM = 271808784
Thus, we can understand that the LCM of 584,507,624,459,648 is 271808784.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 584, 507, 624, 459, 648
1. What is the LCM of 584, 507, 624, 459, 648?
Answer: LCM of 584, 507, 624, 459, 648 is 271808784.
2. How to calculate the LCM of 584, 507, 624, 459, 648?
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 584, 507, 624, 459, 648.
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}.