LCM of 393, 408, 718, 446, 109
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 393, 408, 718, 446, 109 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 393, 408, 718, 446, 109. So, keep reading to learn more.
Given numbers are 393,408,718,446,109
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 393,408,718,446,109 is 466398632424.
Find LCM of 393,408,718,446,109 with Prime Factorization
| 2 | 393, 408, 718, 446, 109 |
| 3 | 393, 204, 359, 223, 109 |
| 131, 68, 359, 223, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 131 x 68 x 359 x 223 x 109 = 466398632424
Therefore, the lowest common multiple of 393,408,718,446,109 is 466398632424.
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.
393 x 408 x 718 x 446 x 109 = 5596783589088
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.
393 : 1, 3, 131, 393
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
718 : 1, 2, 359, 718
446 : 1, 2, 223, 446
109 : 1, 109
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,408,718,446,109, is 1.
Now, the common factors can be found like this.
393:3x 131
408:2x 2x 2x 3x 17
718:2x 359
446:2x 223
109:109
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 3 = 12
Therefore, the value for common factors is 12.
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 = 5596783589088/(1x12)
LCM = 5596783589088/12
LCM = 466398632424
Thus, we can understand that the LCM of 393,408,718,446,109 is 466398632424.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 393, 408, 718, 446, 109
1. What is the LCM of 393, 408, 718, 446, 109?
Answer: LCM of 393, 408, 718, 446, 109 is 466398632424.
2. How to calculate the LCM of 393, 408, 718, 446, 109?
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 393, 408, 718, 446, 109.
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}.