LCM of 404, 676, 696, 598, 110
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 404, 676, 696, 598, 110 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 404, 676, 696, 598, 110. So, keep reading to learn more.
Given numbers are 404,676,696,598,110
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 404,676,696,598,110 is 15028230360.
Find LCM of 404,676,696,598,110 with Prime Factorization
| 2 | 404, 676, 696, 598, 110 |
| 2 | 202, 338, 348, 299, 55 |
| 13 | 101, 169, 174, 299, 55 |
| 101, 13, 174, 23, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 101 x 13 x 174 x 23 x 55 = 15028230360
Therefore, the lowest common multiple of 404,676,696,598,110 is 15028230360.
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.
404 x 676 x 696 x 598 x 110 = 12503487659520
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.
404 : 1, 2, 4, 101, 202, 404
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
598 : 1, 2, 13, 23, 26, 46, 299, 598
110 : 1, 2, 5, 10, 11, 22, 55, 110
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 404,676,696,598,110, is 2.
Now, the common factors can be found like this.
404:2x 2x 101
676:2x 2x 13x 13
696:2x 2x 2x 3x 29
598:2x 13x 23
110:2x 5x 11
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 2x 2x 13 = 416
Therefore, the value for common factors is 416.
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 = 12503487659520/(2x416)
LCM = 12503487659520/832
LCM = 15028230360
Thus, we can understand that the LCM of 404,676,696,598,110 is 15028230360.
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FAQs on LCM of 404, 676, 696, 598, 110
1. What is the LCM of 404, 676, 696, 598, 110?
Answer: LCM of 404, 676, 696, 598, 110 is 15028230360.
2. How to calculate the LCM of 404, 676, 696, 598, 110?
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 404, 676, 696, 598, 110.
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}.