LCM of 513, 950, 335, 500, 730
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 950, 335, 500, 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, 950, 335, 500, 730. So, keep reading to learn more.
Given numbers are 513,950,335,500,730
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,950,335,500,730 is 1254541500.
Find LCM of 513,950,335,500,730 with Prime Factorization
| 2 | 513, 950, 335, 500, 730 |
| 5 | 513, 475, 335, 250, 365 |
| 5 | 513, 95, 67, 50, 73 |
| 19 | 513, 19, 67, 10, 73 |
| 27, 1, 67, 10, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 19 x 27 x 1 x 67 x 10 x 73 = 1254541500
Therefore, the lowest common multiple of 513,950,335,500,730 is 1254541500.
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 950 x 335 x 500 x 730 = 59590721250000
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
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
335 : 1, 5, 67, 335
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
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 513,950,335,500,730, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
950:2x 5x 5x 19
335:5x 67
500:2x 2x 5x 5x 5
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 2x 5x 5x 5x 5x 19 = 47500
Therefore, the value for common factors is 47500.
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 = 59590721250000/(1x47500)
LCM = 59590721250000/47500
LCM = 1254541500
Thus, we can understand that the LCM of 513,950,335,500,730 is 1254541500.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 513, 950, 335, 500, 730
1. What is the LCM of 513, 950, 335, 500, 730?
Answer: LCM of 513, 950, 335, 500, 730 is 1254541500.
2. How to calculate the LCM of 513, 950, 335, 500, 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, 950, 335, 500, 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}.