LCM of 826, 642, 459, 886, 148
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 826, 642, 459, 886, 148 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 826, 642, 459, 886, 148. So, keep reading to learn more.
Given numbers are 826,642,459,886,148
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 826,642,459,886,148 is 1329878474316.
Find LCM of 826,642,459,886,148 with Prime Factorization
| 2 | 826, 642, 459, 886, 148 |
| 3 | 413, 321, 459, 443, 74 |
| 413, 107, 153, 443, 74 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 413 x 107 x 153 x 443 x 74 = 1329878474316
Therefore, the lowest common multiple of 826,642,459,886,148 is 1329878474316.
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.
826 x 642 x 459 x 886 x 148 = 31917083383584
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.
826 : 1, 2, 7, 14, 59, 118, 413, 826
642 : 1, 2, 3, 6, 107, 214, 321, 642
459 : 1, 3, 9, 17, 27, 51, 153, 459
886 : 1, 2, 443, 886
148 : 1, 2, 4, 37, 74, 148
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,642,459,886,148, is 1.
Now, the common factors can be found like this.
826:2x 7x 59
642:2x 3x 107
459:3x 3x 3x 17
886:2x 443
148:2x 2x 37
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 3 = 24
Therefore, the value for common factors is 24.
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 = 31917083383584/(1x24)
LCM = 31917083383584/24
LCM = 1329878474316
Thus, we can understand that the LCM of 826,642,459,886,148 is 1329878474316.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 826, 642, 459, 886, 148
1. What is the LCM of 826, 642, 459, 886, 148?
Answer: LCM of 826, 642, 459, 886, 148 is 1329878474316.
2. How to calculate the LCM of 826, 642, 459, 886, 148?
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 826, 642, 459, 886, 148.
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}.