Find the LCM of 411, 215, 319, 493 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 411, 215, 319, 493. So, keep reading to learn more.
Given numbers are 411,215,319,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 411,215,319,493 is 479203395.
Find LCM of 411,215,319,493 with Prime Factorization
29 | 411, 215, 319, 493 |
411, 215, 11, 17 |
Multiply the prime numbers at the bottom and the left side.
29 x 411 x 215 x 11 x 17 = 479203395
Therefore, the lowest common multiple of 411,215,319,493 is 479203395.
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.
411 x 215 x 319 x 493 = 13896898455
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.
411 : 1, 3, 137, 411
215 : 1, 5, 43, 215
319 : 1, 11, 29, 319
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 411,215,319,493, is 1.
Now, the common factors can be found like this.
411:3x 137
215:5x 43
319:11x 29
493:17x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
29 = 29
Therefore, the value for common factors is 29.
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 = 13896898455/(1x29)
LCM = 13896898455/29
LCM = 479203395
Thus, we can understand that the LCM of 411,215,319,493 is 479203395.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 411, 215, 319, 493?
Answer: LCM of 411, 215, 319, 493 is 479203395.
2. How to calculate the LCM of 411, 215, 319, 493?
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 411, 215, 319, 493.
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}.