Find the LCM of 416, 926, 438, 936, 336 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 416, 926, 438, 936, 336. So, keep reading to learn more.
Given numbers are 416,926,438,936,336
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,926,438,936,336 is 885804192.
Find LCM of 416,926,438,936,336 with Prime Factorization
2 | 416, 926, 438, 936, 336 |
2 | 208, 463, 219, 468, 168 |
2 | 104, 463, 219, 234, 84 |
2 | 52, 463, 219, 117, 42 |
3 | 26, 463, 219, 117, 21 |
13 | 26, 463, 73, 39, 7 |
2, 463, 73, 3, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 13 x 2 x 463 x 73 x 3 x 7 = 885804192
Therefore, the lowest common multiple of 416,926,438,936,336 is 885804192.
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.
416 x 926 x 438 x 936 x 336 = 53063214317568
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
926 : 1, 2, 463, 926
438 : 1, 2, 3, 6, 73, 146, 219, 438
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,926,438,936,336, is 2.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
926:2x 463
438:2x 3x 73
936:2x 2x 2x 3x 3x 13
336:2x 2x 2x 2x 3x 7
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 2x 2x 2x 3x 3x 13 = 29952
Therefore, the value for common factors is 29952.
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 = 53063214317568/(2x29952)
LCM = 53063214317568/59904
LCM = 885804192
Thus, we can understand that the LCM of 416,926,438,936,336 is 885804192.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 416, 926, 438, 936, 336?
Answer: LCM of 416, 926, 438, 936, 336 is 885804192.
2. How to calculate the LCM of 416, 926, 438, 936, 336?
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 416, 926, 438, 936, 336.
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}.