Find the LCM of 518, 399, 997, 487, 222 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 518, 399, 997, 487, 222. So, keep reading to learn more.
Given numbers are 518,399,997,487,222
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 518,399,997,487,222 is 14336024514.
Find LCM of 518,399,997,487,222 with Prime Factorization
2 | 518, 399, 997, 487, 222 |
3 | 259, 399, 997, 487, 111 |
7 | 259, 133, 997, 487, 37 |
37 | 37, 19, 997, 487, 37 |
1, 19, 997, 487, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 37 x 1 x 19 x 997 x 487 x 1 = 14336024514
Therefore, the lowest common multiple of 518,399,997,487,222 is 14336024514.
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.
518 x 399 x 997 x 487 x 222 = 22278182094756
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.
518 : 1, 2, 7, 14, 37, 74, 259, 518
399 : 1, 3, 7, 19, 21, 57, 133, 399
997 : 1, 997
487 : 1, 487
222 : 1, 2, 3, 6, 37, 74, 111, 222
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,399,997,487,222, is 1.
Now, the common factors can be found like this.
518:2x 7x 37
399:3x 7x 19
997:997
487:487
222:2x 3x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 37 = 1554
Therefore, the value for common factors is 1554.
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 = 22278182094756/(1x1554)
LCM = 22278182094756/1554
LCM = 14336024514
Thus, we can understand that the LCM of 518,399,997,487,222 is 14336024514.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 518, 399, 997, 487, 222?
Answer: LCM of 518, 399, 997, 487, 222 is 14336024514.
2. How to calculate the LCM of 518, 399, 997, 487, 222?
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 518, 399, 997, 487, 222.
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}.