LCM of 891, 458, 507, 315, 169
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 891, 458, 507, 315, 169 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 891, 458, 507, 315, 169. So, keep reading to learn more.
Given numbers are 891,458,507,315,169
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 891,458,507,315,169 is 2413781370.
Find LCM of 891,458,507,315,169 with Prime Factorization
| 3 | 891, 458, 507, 315, 169 |
| 3 | 297, 458, 169, 105, 169 |
| 13 | 99, 458, 169, 35, 169 |
| 13 | 99, 458, 13, 35, 13 |
| 99, 458, 1, 35, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 13 x 13 x 99 x 458 x 1 x 35 x 1 = 2413781370
Therefore, the lowest common multiple of 891,458,507,315,169 is 2413781370.
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.
891 x 458 x 507 x 315 x 169 = 11014084391310
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.
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
458 : 1, 2, 229, 458
507 : 1, 3, 13, 39, 169, 507
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
169 : 1, 13, 169
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 891,458,507,315,169, is 1.
Now, the common factors can be found like this.
891:3x 3x 3x 3x 11
458:2x 229
507:3x 13x 13
315:3x 3x 5x 7
169:13x 13
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 13x 13 = 4563
Therefore, the value for common factors is 4563.
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 = 11014084391310/(1x4563)
LCM = 11014084391310/4563
LCM = 2413781370
Thus, we can understand that the LCM of 891,458,507,315,169 is 2413781370.
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FAQs on LCM of 891, 458, 507, 315, 169
1. What is the LCM of 891, 458, 507, 315, 169?
Answer: LCM of 891, 458, 507, 315, 169 is 2413781370.
2. How to calculate the LCM of 891, 458, 507, 315, 169?
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 891, 458, 507, 315, 169.
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}.