Find the LCM of 410, 348, 798, 570, 913 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 410, 348, 798, 570, 913. So, keep reading to learn more.
Given numbers are 410,348,798,570,913
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 410,348,798,570,913 is 8662744860.
Find LCM of 410,348,798,570,913 with Prime Factorization
2 | 410, 348, 798, 570, 913 |
3 | 205, 174, 399, 285, 913 |
5 | 205, 58, 133, 95, 913 |
19 | 41, 58, 133, 19, 913 |
41, 58, 7, 1, 913 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 41 x 58 x 7 x 1 x 913 = 8662744860
Therefore, the lowest common multiple of 410,348,798,570,913 is 8662744860.
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.
410 x 348 x 798 x 570 x 913 = 59253174842400
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.
410 : 1, 2, 5, 10, 41, 82, 205, 410
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
913 : 1, 11, 83, 913
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 410,348,798,570,913, is 1.
Now, the common factors can be found like this.
410:2x 5x 41
348:2x 2x 3x 29
798:2x 3x 7x 19
570:2x 3x 5x 19
913:11x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3x 5x 19 = 6840
Therefore, the value for common factors is 6840.
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 = 59253174842400/(1x6840)
LCM = 59253174842400/6840
LCM = 8662744860
Thus, we can understand that the LCM of 410,348,798,570,913 is 8662744860.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 410, 348, 798, 570, 913?
Answer: LCM of 410, 348, 798, 570, 913 is 8662744860.
2. How to calculate the LCM of 410, 348, 798, 570, 913?
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 410, 348, 798, 570, 913.
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}.