LCM of 459, 901, 649, 458, 136
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 459, 901, 649, 458, 136 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 459, 901, 649, 458, 136. So, keep reading to learn more.
Given numbers are 459,901,649,458,136
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,901,649,458,136 is 28924024536.
Find LCM of 459,901,649,458,136 with Prime Factorization
| 2 | 459, 901, 649, 458, 136 |
| 17 | 459, 901, 649, 229, 68 |
| 27, 53, 649, 229, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 27 x 53 x 649 x 229 x 4 = 28924024536
Therefore, the lowest common multiple of 459,901,649,458,136 is 28924024536.
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.
459 x 901 x 649 x 458 x 136 = 16718086181808
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
901 : 1, 17, 53, 901
649 : 1, 11, 59, 649
458 : 1, 2, 229, 458
136 : 1, 2, 4, 8, 17, 34, 68, 136
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,901,649,458,136, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
901:17x 53
649:11x 59
458:2x 229
136:2x 2x 2x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17x 17 = 578
Therefore, the value for common factors is 578.
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 = 16718086181808/(1x578)
LCM = 16718086181808/578
LCM = 28924024536
Thus, we can understand that the LCM of 459,901,649,458,136 is 28924024536.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 459, 901, 649, 458, 136
1. What is the LCM of 459, 901, 649, 458, 136?
Answer: LCM of 459, 901, 649, 458, 136 is 28924024536.
2. How to calculate the LCM of 459, 901, 649, 458, 136?
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 459, 901, 649, 458, 136.
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}.