Find the LCM of 629, 848, 417, 636, 834 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 629, 848, 417, 636, 834. So, keep reading to learn more.
Given numbers are 629,848,417,636,834
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 629,848,417,636,834 is 222424464.
Find LCM of 629,848,417,636,834 with Prime Factorization
2 | 629, 848, 417, 636, 834 |
2 | 629, 424, 417, 318, 417 |
3 | 629, 212, 417, 159, 417 |
53 | 629, 212, 139, 53, 139 |
139 | 629, 4, 139, 1, 139 |
629, 4, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 53 x 139 x 629 x 4 x 1 x 1 x 1 = 222424464
Therefore, the lowest common multiple of 629,848,417,636,834 is 222424464.
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.
629 x 848 x 417 x 636 x 834 = 117979273892736
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.
629 : 1, 17, 37, 629
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
417 : 1, 3, 139, 417
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
834 : 1, 2, 3, 6, 139, 278, 417, 834
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 629,848,417,636,834, is 1.
Now, the common factors can be found like this.
629:17x 37
848:2x 2x 2x 2x 53
417:3x 139
636:2x 2x 3x 53
834:2x 3x 139
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 3x 3x 53x 139 = 530424
Therefore, the value for common factors is 530424.
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 = 117979273892736/(1x530424)
LCM = 117979273892736/530424
LCM = 222424464
Thus, we can understand that the LCM of 629,848,417,636,834 is 222424464.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 629, 848, 417, 636, 834?
Answer: LCM of 629, 848, 417, 636, 834 is 222424464.
2. How to calculate the LCM of 629, 848, 417, 636, 834?
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 629, 848, 417, 636, 834.
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}.