Find the LCM of 697, 456, 408, 985 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, 456, 408, 985. So, keep reading to learn more.
Given numbers are 697,456,408,985
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,456,408,985 is 313064520.
Find LCM of 697,456,408,985 with Prime Factorization
2 | 697, 456, 408, 985 |
2 | 697, 228, 204, 985 |
2 | 697, 114, 102, 985 |
3 | 697, 57, 51, 985 |
17 | 697, 19, 17, 985 |
41, 19, 1, 985 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 41 x 19 x 1 x 985 = 313064520
Therefore, the lowest common multiple of 697,456,408,985 is 313064520.
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 456 x 408 x 985 = 127730324160
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
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
985 : 1, 5, 197, 985
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,456,408,985, is 1.
Now, the common factors can be found like this.
697:17x 41
456:2x 2x 2x 3x 19
408:2x 2x 2x 3x 17
985:5x 197
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 17 = 408
Therefore, the value for common factors is 408.
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 = 127730324160/(1x408)
LCM = 127730324160/408
LCM = 313064520
Thus, we can understand that the LCM of 697,456,408,985 is 313064520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 697, 456, 408, 985?
Answer: LCM of 697, 456, 408, 985 is 313064520.
2. How to calculate the LCM of 697, 456, 408, 985?
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, 456, 408, 985.
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}.