LCM of 633, 455, 531, 819, 655
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 633, 455, 531, 819, 655 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 633, 455, 531, 819, 655. So, keep reading to learn more.
Given numbers are 633,455,531,819,655
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 633,455,531,819,655 is 6678203805.
Find LCM of 633,455,531,819,655 with Prime Factorization
| 3 | 633, 455, 531, 819, 655 |
| 3 | 211, 455, 177, 273, 655 |
| 5 | 211, 455, 59, 91, 655 |
| 7 | 211, 91, 59, 91, 131 |
| 13 | 211, 13, 59, 13, 131 |
| 211, 1, 59, 1, 131 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 7 x 13 x 211 x 1 x 59 x 1 x 131 = 6678203805
Therefore, the lowest common multiple of 633,455,531,819,655 is 6678203805.
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.
633 x 455 x 531 x 819 x 655 = 82041733744425
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.
633 : 1, 3, 211, 633
455 : 1, 5, 7, 13, 35, 65, 91, 455
531 : 1, 3, 9, 59, 177, 531
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
655 : 1, 5, 131, 655
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 633,455,531,819,655, is 1.
Now, the common factors can be found like this.
633:3x 211
455:5x 7x 13
531:3x 3x 59
819:3x 3x 7x 13
655:5x 131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5x 7x 13 = 12285
Therefore, the value for common factors is 12285.
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 = 82041733744425/(1x12285)
LCM = 82041733744425/12285
LCM = 6678203805
Thus, we can understand that the LCM of 633,455,531,819,655 is 6678203805.
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FAQs on LCM of 633, 455, 531, 819, 655
1. What is the LCM of 633, 455, 531, 819, 655?
Answer: LCM of 633, 455, 531, 819, 655 is 6678203805.
2. How to calculate the LCM of 633, 455, 531, 819, 655?
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 633, 455, 531, 819, 655.
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}.