Find the LCM of 589, 961, 447, 983, 339 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 589, 961, 447, 983, 339. So, keep reading to learn more.
Given numbers are 589,961,447,983,339
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,961,447,983,339 is 906601583067.
Find LCM of 589,961,447,983,339 with Prime Factorization
3 | 589, 961, 447, 983, 339 |
31 | 589, 961, 149, 983, 113 |
19, 31, 149, 983, 113 |
Multiply the prime numbers at the bottom and the left side.
3 x 31 x 19 x 31 x 149 x 983 x 113 = 906601583067
Therefore, the lowest common multiple of 589,961,447,983,339 is 906601583067.
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.
589 x 961 x 447 x 983 x 339 = 84313947225231
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.
589 : 1, 19, 31, 589
961 : 1, 31, 961
447 : 1, 3, 149, 447
983 : 1, 983
339 : 1, 3, 113, 339
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,961,447,983,339, is 1.
Now, the common factors can be found like this.
589:19x 31
961:31x 31
447:3x 149
983:983
339:3x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 31 = 93
Therefore, the value for common factors is 93.
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 = 84313947225231/(1x93)
LCM = 84313947225231/93
LCM = 906601583067
Thus, we can understand that the LCM of 589,961,447,983,339 is 906601583067.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 589, 961, 447, 983, 339?
Answer: LCM of 589, 961, 447, 983, 339 is 906601583067.
2. How to calculate the LCM of 589, 961, 447, 983, 339?
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 589, 961, 447, 983, 339.
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}.