Find the LCM of 586, 466, 963, 399, 536 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 586, 466, 963, 399, 536. So, keep reading to learn more.
Given numbers are 586,466,963,399,536
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 586,466,963,399,536 is 4686690334536.
Find LCM of 586,466,963,399,536 with Prime Factorization
2 | 586, 466, 963, 399, 536 |
3 | 293, 233, 963, 399, 268 |
293, 233, 321, 133, 268 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 293 x 233 x 321 x 133 x 268 = 4686690334536
Therefore, the lowest common multiple of 586,466,963,399,536 is 4686690334536.
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.
586 x 466 x 963 x 399 x 536 = 56240284014432
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.
586 : 1, 2, 293, 586
466 : 1, 2, 233, 466
963 : 1, 3, 9, 107, 321, 963
399 : 1, 3, 7, 19, 21, 57, 133, 399
536 : 1, 2, 4, 8, 67, 134, 268, 536
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,466,963,399,536, is 1.
Now, the common factors can be found like this.
586:2x 293
466:2x 233
963:3x 3x 107
399:3x 7x 19
536:2x 2x 2x 67
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 3 = 12
Therefore, the value for common factors is 12.
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 = 56240284014432/(1x12)
LCM = 56240284014432/12
LCM = 4686690334536
Thus, we can understand that the LCM of 586,466,963,399,536 is 4686690334536.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 586, 466, 963, 399, 536?
Answer: LCM of 586, 466, 963, 399, 536 is 4686690334536.
2. How to calculate the LCM of 586, 466, 963, 399, 536?
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 586, 466, 963, 399, 536.
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}.