Find the LCM of 407, 304, 436, 880, 366 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 407, 304, 436, 880, 366. So, keep reading to learn more.
Given numbers are 407,304,436,880,366
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 407,304,436,880,366 is 12340012080.
Find LCM of 407,304,436,880,366 with Prime Factorization
2 | 407, 304, 436, 880, 366 |
2 | 407, 152, 218, 440, 183 |
2 | 407, 76, 109, 220, 183 |
2 | 407, 38, 109, 110, 183 |
11 | 407, 19, 109, 55, 183 |
37, 19, 109, 5, 183 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 11 x 37 x 19 x 109 x 5 x 183 = 12340012080
Therefore, the lowest common multiple of 407,304,436,880,366 is 12340012080.
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.
407 x 304 x 436 x 880 x 366 = 17374737008640
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.
407 : 1, 11, 37, 407
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
436 : 1, 2, 4, 109, 218, 436
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
366 : 1, 2, 3, 6, 61, 122, 183, 366
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,304,436,880,366, is 1.
Now, the common factors can be found like this.
407:11x 37
304:2x 2x 2x 2x 19
436:2x 2x 109
880:2x 2x 2x 2x 5x 11
366:2x 3x 61
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 11 = 1408
Therefore, the value for common factors is 1408.
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 = 17374737008640/(1x1408)
LCM = 17374737008640/1408
LCM = 12340012080
Thus, we can understand that the LCM of 407,304,436,880,366 is 12340012080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 407, 304, 436, 880, 366?
Answer: LCM of 407, 304, 436, 880, 366 is 12340012080.
2. How to calculate the LCM of 407, 304, 436, 880, 366?
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 407, 304, 436, 880, 366.
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}.