Find the LCM of 518, 494, 487, 102 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, 494, 487, 102. So, keep reading to learn more.
Given numbers are 518,494,487,102
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 518,494,487,102 is 3177794802.
Find LCM of 518,494,487,102 with Prime Factorization
2 | 518, 494, 487, 102 |
259, 247, 487, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 259 x 247 x 487 x 51 = 3177794802
Therefore, the lowest common multiple of 518,494,487,102 is 3177794802.
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 494 x 487 x 102 = 12711179208
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
494 : 1, 2, 13, 19, 26, 38, 247, 494
487 : 1, 487
102 : 1, 2, 3, 6, 17, 34, 51, 102
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,494,487,102, is 1.
Now, the common factors can be found like this.
518:2x 7x 37
494:2x 13x 19
487:487
102:2x 3x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 12711179208/(1x4)
LCM = 12711179208/4
LCM = 3177794802
Thus, we can understand that the LCM of 518,494,487,102 is 3177794802.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 518, 494, 487, 102?
Answer: LCM of 518, 494, 487, 102 is 3177794802.
2. How to calculate the LCM of 518, 494, 487, 102?
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, 494, 487, 102.
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}.