Find the LCM of 391, 207, 894, 499, 518 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 391, 207, 894, 499, 518. So, keep reading to learn more.
Given numbers are 391,207,894,499,518
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 391,207,894,499,518 is 135530125542.
Find LCM of 391,207,894,499,518 with Prime Factorization
2 | 391, 207, 894, 499, 518 |
3 | 391, 207, 447, 499, 259 |
23 | 391, 69, 149, 499, 259 |
17, 3, 149, 499, 259 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 17 x 3 x 149 x 499 x 259 = 135530125542
Therefore, the lowest common multiple of 391,207,894,499,518 is 135530125542.
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.
391 x 207 x 894 x 499 x 518 = 18703157324796
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.
391 : 1, 17, 23, 391
207 : 1, 3, 9, 23, 69, 207
894 : 1, 2, 3, 6, 149, 298, 447, 894
499 : 1, 499
518 : 1, 2, 7, 14, 37, 74, 259, 518
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,207,894,499,518, is 1.
Now, the common factors can be found like this.
391:17x 23
207:3x 3x 23
894:2x 3x 149
499:499
518:2x 7x 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 23 = 138
Therefore, the value for common factors is 138.
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 = 18703157324796/(1x138)
LCM = 18703157324796/138
LCM = 135530125542
Thus, we can understand that the LCM of 391,207,894,499,518 is 135530125542.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 391, 207, 894, 499, 518?
Answer: LCM of 391, 207, 894, 499, 518 is 135530125542.
2. How to calculate the LCM of 391, 207, 894, 499, 518?
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 391, 207, 894, 499, 518.
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}.