Find the LCM of 697, 446, 517, 704, 207 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 697, 446, 517, 704, 207. So, keep reading to learn more.
Given numbers are 697,446,517,704,207
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,446,517,704,207 is 1064580492096.
Find LCM of 697,446,517,704,207 with Prime Factorization
2 | 697, 446, 517, 704, 207 |
11 | 697, 223, 517, 352, 207 |
697, 223, 47, 32, 207 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 697 x 223 x 47 x 32 x 207 = 1064580492096
Therefore, the lowest common multiple of 697,446,517,704,207 is 1064580492096.
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.
697 x 446 x 517 x 704 x 207 = 23420770826112
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.
697 : 1, 17, 41, 697
446 : 1, 2, 223, 446
517 : 1, 11, 47, 517
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
207 : 1, 3, 9, 23, 69, 207
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,446,517,704,207, is 1.
Now, the common factors can be found like this.
697:17x 41
446:2x 223
517:11x 47
704:2x 2x 2x 2x 2x 2x 11
207:3x 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 11 = 22
Therefore, the value for common factors is 22.
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 = 23420770826112/(1x22)
LCM = 23420770826112/22
LCM = 1064580492096
Thus, we can understand that the LCM of 697,446,517,704,207 is 1064580492096.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 697, 446, 517, 704, 207?
Answer: LCM of 697, 446, 517, 704, 207 is 1064580492096.
2. How to calculate the LCM of 697, 446, 517, 704, 207?
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 697, 446, 517, 704, 207.
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}.