Find the LCM of 409, 156, 819, 390, 327 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 409, 156, 819, 390, 327. So, keep reading to learn more.
Given numbers are 409,156,819,390,327
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 409,156,819,390,327 is 730236780.
Find LCM of 409,156,819,390,327 with Prime Factorization
2 | 409, 156, 819, 390, 327 |
3 | 409, 78, 819, 195, 327 |
13 | 409, 26, 273, 65, 109 |
409, 2, 21, 5, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 409 x 2 x 21 x 5 x 109 = 730236780
Therefore, the lowest common multiple of 409,156,819,390,327 is 730236780.
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.
409 x 156 x 819 x 390 x 327 = 6664140854280
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.
409 : 1, 409
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
327 : 1, 3, 109, 327
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,156,819,390,327, is 1.
Now, the common factors can be found like this.
409:409
156:2x 2x 3x 13
819:3x 3x 7x 13
390:2x 3x 5x 13
327:3x 109
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 3x 3x 13x 13 = 9126
Therefore, the value for common factors is 9126.
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 = 6664140854280/(1x9126)
LCM = 6664140854280/9126
LCM = 730236780
Thus, we can understand that the LCM of 409,156,819,390,327 is 730236780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 409, 156, 819, 390, 327?
Answer: LCM of 409, 156, 819, 390, 327 is 730236780.
2. How to calculate the LCM of 409, 156, 819, 390, 327?
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 409, 156, 819, 390, 327.
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}.