LCM of 624, 459, 481, 629, 353
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 624, 459, 481, 629, 353 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 624, 459, 481, 629, 353. So, keep reading to learn more.
Given numbers are 624,459,481,629,353
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 624,459,481,629,353 is 1246959792.
Find LCM of 624,459,481,629,353 with Prime Factorization
| 3 | 624, 459, 481, 629, 353 |
| 13 | 208, 153, 481, 629, 353 |
| 17 | 16, 153, 37, 629, 353 |
| 37 | 16, 9, 37, 37, 353 |
| 16, 9, 1, 1, 353 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 17 x 37 x 16 x 9 x 1 x 1 x 353 = 1246959792
Therefore, the lowest common multiple of 624,459,481,629,353 is 1246959792.
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.
624 x 459 x 481 x 629 x 353 = 30589170657552
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.
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
481 : 1, 13, 37, 481
629 : 1, 17, 37, 629
353 : 1, 353
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,459,481,629,353, is 1.
Now, the common factors can be found like this.
624:2x 2x 2x 2x 3x 13
459:3x 3x 3x 17
481:13x 37
629:17x 37
353:353
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 17x 37 = 24531
Therefore, the value for common factors is 24531.
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 = 30589170657552/(1x24531)
LCM = 30589170657552/24531
LCM = 1246959792
Thus, we can understand that the LCM of 624,459,481,629,353 is 1246959792.
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FAQs on LCM of 624, 459, 481, 629, 353
1. What is the LCM of 624, 459, 481, 629, 353?
Answer: LCM of 624, 459, 481, 629, 353 is 1246959792.
2. How to calculate the LCM of 624, 459, 481, 629, 353?
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 624, 459, 481, 629, 353.
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}.