Find the LCM of 414, 299, 968, 964, 580 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 414, 299, 968, 964, 580. So, keep reading to learn more.
Given numbers are 414,299,968,964,580
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 414,299,968,964,580 is 91027811160.
Find LCM of 414,299,968,964,580 with Prime Factorization
2 | 414, 299, 968, 964, 580 |
2 | 207, 299, 484, 482, 290 |
23 | 207, 299, 242, 241, 145 |
9, 13, 242, 241, 145 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 9 x 13 x 242 x 241 x 145 = 91027811160
Therefore, the lowest common multiple of 414,299,968,964,580 is 91027811160.
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.
414 x 299 x 968 x 964 x 580 = 66996469013760
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.
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
299 : 1, 13, 23, 299
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
964 : 1, 2, 4, 241, 482, 964
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,299,968,964,580, is 1.
Now, the common factors can be found like this.
414:2x 3x 3x 23
299:13x 23
968:2x 2x 2x 11x 11
964:2x 2x 241
580:2x 2x 5x 29
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 23 = 736
Therefore, the value for common factors is 736.
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 = 66996469013760/(1x736)
LCM = 66996469013760/736
LCM = 91027811160
Thus, we can understand that the LCM of 414,299,968,964,580 is 91027811160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 414, 299, 968, 964, 580?
Answer: LCM of 414, 299, 968, 964, 580 is 91027811160.
2. How to calculate the LCM of 414, 299, 968, 964, 580?
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 414, 299, 968, 964, 580.
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}.