LCM of 442, 113, 315, 447, 813
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 442, 113, 315, 447, 813 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 442, 113, 315, 447, 813. So, keep reading to learn more.
Given numbers are 442,113,315,447,813
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,113,315,447,813 is 635282403210.
Find LCM of 442,113,315,447,813 with Prime Factorization
| 3 | 442, 113, 315, 447, 813 |
| 442, 113, 105, 149, 271 |
Multiply the prime numbers at the bottom and the left side.
3 x 442 x 113 x 105 x 149 x 271 = 635282403210
Therefore, the lowest common multiple of 442,113,315,447,813 is 635282403210.
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.
442 x 113 x 315 x 447 x 813 = 5717541628890
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.
442 : 1, 2, 13, 17, 26, 34, 221, 442
113 : 1, 113
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
447 : 1, 3, 149, 447
813 : 1, 3, 271, 813
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,113,315,447,813, is 1.
Now, the common factors can be found like this.
442:2x 13x 17
113:113
315:3x 3x 5x 7
447:3x 149
813:3x 271
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 5717541628890/(1x9)
LCM = 5717541628890/9
LCM = 635282403210
Thus, we can understand that the LCM of 442,113,315,447,813 is 635282403210.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 442, 113, 315, 447, 813
1. What is the LCM of 442, 113, 315, 447, 813?
Answer: LCM of 442, 113, 315, 447, 813 is 635282403210.
2. How to calculate the LCM of 442, 113, 315, 447, 813?
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 442, 113, 315, 447, 813.
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}.