Find the LCM of 699, 629, 888, 897, 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 699, 629, 888, 897, 834. So, keep reading to learn more.
Given numbers are 699,629,888,897,834
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 699,629,888,897,834 is 146185331448.
Find LCM of 699,629,888,897,834 with Prime Factorization
2 | 699, 629, 888, 897, 834 |
3 | 699, 629, 444, 897, 417 |
37 | 233, 629, 148, 299, 139 |
233, 17, 4, 299, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 37 x 233 x 17 x 4 x 299 x 139 = 146185331448
Therefore, the lowest common multiple of 699,629,888,897,834 is 146185331448.
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.
699 x 629 x 888 x 897 x 834 = 292078292233104
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.
699 : 1, 3, 233, 699
629 : 1, 17, 37, 629
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
897 : 1, 3, 13, 23, 39, 69, 299, 897
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 699,629,888,897,834, is 1.
Now, the common factors can be found like this.
699:3x 233
629:17x 37
888:2x 2x 2x 3x 37
897:3x 13x 23
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 3x 3x 3x 37 = 1998
Therefore, the value for common factors is 1998.
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 = 292078292233104/(1x1998)
LCM = 292078292233104/1998
LCM = 146185331448
Thus, we can understand that the LCM of 699,629,888,897,834 is 146185331448.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 699, 629, 888, 897, 834?
Answer: LCM of 699, 629, 888, 897, 834 is 146185331448.
2. How to calculate the LCM of 699, 629, 888, 897, 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 699, 629, 888, 897, 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}.