Find the LCM of 804, 921, 336, 414 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 804, 921, 336, 414. So, keep reading to learn more.
Given numbers are 804,921,336,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 804,921,336,414 is 476871696.
Find LCM of 804,921,336,414 with Prime Factorization
2 | 804, 921, 336, 414 |
2 | 402, 921, 168, 207 |
3 | 201, 921, 84, 207 |
67, 307, 28, 69 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 67 x 307 x 28 x 69 = 476871696
Therefore, the lowest common multiple of 804,921,336,414 is 476871696.
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.
804 x 921 x 336 x 414 = 103004286336
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.
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
921 : 1, 3, 307, 921
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 804,921,336,414, is 3.
Now, the common factors can be found like this.
804:2x 2x 3x 67
921:3x 307
336:2x 2x 2x 2x 3x 7
414:2x 3x 3x 23
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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 103004286336/(3x72)
LCM = 103004286336/216
LCM = 476871696
Thus, we can understand that the LCM of 804,921,336,414 is 476871696.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 804, 921, 336, 414?
Answer: LCM of 804, 921, 336, 414 is 476871696.
2. How to calculate the LCM of 804, 921, 336, 414?
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 804, 921, 336, 414.
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}.