LCM of 513, 493, 699, 742, 730
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 493, 699, 742, 730 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, 493, 699, 742, 730. So, keep reading to learn more.
Given numbers are 513,493,699,742,730
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,493,699,742,730 is 15959415261510.
Find LCM of 513,493,699,742,730 with Prime Factorization
| 2 | 513, 493, 699, 742, 730 |
| 3 | 513, 493, 699, 371, 365 |
| 171, 493, 233, 371, 365 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 171 x 493 x 233 x 371 x 365 = 15959415261510
Therefore, the lowest common multiple of 513,493,699,742,730 is 15959415261510.
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 493 x 699 x 742 x 730 = 95756491569060
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
493 : 1, 17, 29, 493
699 : 1, 3, 233, 699
742 : 1, 2, 7, 14, 53, 106, 371, 742
730 : 1, 2, 5, 10, 73, 146, 365, 730
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,493,699,742,730, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
493:17x 29
699:3x 233
742:2x 7x 53
730:2x 5x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 95756491569060/(1x6)
LCM = 95756491569060/6
LCM = 15959415261510
Thus, we can understand that the LCM of 513,493,699,742,730 is 15959415261510.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 513, 493, 699, 742, 730
1. What is the LCM of 513, 493, 699, 742, 730?
Answer: LCM of 513, 493, 699, 742, 730 is 15959415261510.
2. How to calculate the LCM of 513, 493, 699, 742, 730?
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, 493, 699, 742, 730.
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}.