Find the LCM of 558, 963, 940, 588, 558 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 558, 963, 940, 588, 558. So, keep reading to learn more.
Given numbers are 558,963,940,588,558
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 558,963,940,588,558 is 1375029180.
Find LCM of 558,963,940,588,558 with Prime Factorization
2 | 558, 963, 940, 588, 558 |
2 | 279, 963, 470, 294, 279 |
3 | 279, 963, 235, 147, 279 |
3 | 93, 321, 235, 49, 93 |
31 | 31, 107, 235, 49, 31 |
1, 107, 235, 49, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 31 x 1 x 107 x 235 x 49 x 1 = 1375029180
Therefore, the lowest common multiple of 558,963,940,588,558 is 1375029180.
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.
558 x 963 x 940 x 588 x 558 = 165729517007040
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.
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
963 : 1, 3, 9, 107, 321, 963
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,963,940,588,558, is 1.
Now, the common factors can be found like this.
558:2x 3x 3x 31
963:3x 3x 107
940:2x 2x 5x 47
588:2x 2x 3x 7x 7
558:2x 3x 3x 31
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 3x 3x 3x 3x 3x 31 = 120528
Therefore, the value for common factors is 120528.
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 = 165729517007040/(1x120528)
LCM = 165729517007040/120528
LCM = 1375029180
Thus, we can understand that the LCM of 558,963,940,588,558 is 1375029180.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 558, 963, 940, 588, 558?
Answer: LCM of 558, 963, 940, 588, 558 is 1375029180.
2. How to calculate the LCM of 558, 963, 940, 588, 558?
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 558, 963, 940, 588, 558.
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}.