Find the LCM of 513, 623, 445, 496, 809 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 513, 623, 445, 496, 809. So, keep reading to learn more.
Given numbers are 513,623,445,496,809
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,623,445,496,809 is 641217865680.
Find LCM of 513,623,445,496,809 with Prime Factorization
89 | 513, 623, 445, 496, 809 |
513, 7, 5, 496, 809 |
Multiply the prime numbers at the bottom and the left side.
89 x 513 x 7 x 5 x 496 x 809 = 641217865680
Therefore, the lowest common multiple of 513,623,445,496,809 is 641217865680.
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.
513 x 623 x 445 x 496 x 809 = 57068390045520
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
623 : 1, 7, 89, 623
445 : 1, 5, 89, 445
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
809 : 1, 809
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,623,445,496,809, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
623:7x 89
445:5x 89
496:2x 2x 2x 2x 31
809:809
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
89 = 89
Therefore, the value for common factors is 89.
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 = 57068390045520/(1x89)
LCM = 57068390045520/89
LCM = 641217865680
Thus, we can understand that the LCM of 513,623,445,496,809 is 641217865680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 513, 623, 445, 496, 809?
Answer: LCM of 513, 623, 445, 496, 809 is 641217865680.
2. How to calculate the LCM of 513, 623, 445, 496, 809?
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 513, 623, 445, 496, 809.
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}.