Find the LCM of 558, 589, 519, 802, 186 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, 589, 519, 802, 186. So, keep reading to learn more.
Given numbers are 558,589,519,802,186
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 558,589,519,802,186 is 735492546.
Find LCM of 558,589,519,802,186 with Prime Factorization
2 | 558, 589, 519, 802, 186 |
3 | 279, 589, 519, 401, 93 |
31 | 31, 589, 173, 401, 93 |
1, 19, 173, 401, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 1 x 19 x 173 x 401 x 3 = 735492546
Therefore, the lowest common multiple of 558,589,519,802,186 is 735492546.
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 589 x 519 x 802 x 186 = 25445100121416
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
589 : 1, 19, 31, 589
519 : 1, 3, 173, 519
802 : 1, 2, 401, 802
186 : 1, 2, 3, 6, 31, 62, 93, 186
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,589,519,802,186, is 1.
Now, the common factors can be found like this.
558:2x 3x 3x 31
589:19x 31
519:3x 173
802:2x 401
186:2x 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 3x 3x 31x 31 = 34596
Therefore, the value for common factors is 34596.
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 = 25445100121416/(1x34596)
LCM = 25445100121416/34596
LCM = 735492546
Thus, we can understand that the LCM of 558,589,519,802,186 is 735492546.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 558, 589, 519, 802, 186?
Answer: LCM of 558, 589, 519, 802, 186 is 735492546.
2. How to calculate the LCM of 558, 589, 519, 802, 186?
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, 589, 519, 802, 186.
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}.