LCM of 513, 715, 221, 494
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 715, 221, 494 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, 715, 221, 494. So, keep reading to learn more.
Given numbers are 513,715,221,494
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,715,221,494 is 12471030.
Find LCM of 513,715,221,494 with Prime Factorization
| 13 | 513, 715, 221, 494 |
| 19 | 513, 55, 17, 38 |
| 27, 55, 17, 2 |
Multiply the prime numbers at the bottom and the left side.
13 x 19 x 27 x 55 x 17 x 2 = 12471030
Therefore, the lowest common multiple of 513,715,221,494 is 12471030.
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 715 x 221 x 494 = 40044477330
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
715 : 1, 5, 11, 13, 55, 65, 143, 715
221 : 1, 13, 17, 221
494 : 1, 2, 13, 19, 26, 38, 247, 494
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,715,221,494, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
715:5x 11x 13
221:13x 17
494:2x 13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13x 19 = 3211
Therefore, the value for common factors is 3211.
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 = 40044477330/(1x3211)
LCM = 40044477330/3211
LCM = 12471030
Thus, we can understand that the LCM of 513,715,221,494 is 12471030.
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, 715, 221, 494
1. What is the LCM of 513, 715, 221, 494?
Answer: LCM of 513, 715, 221, 494 is 12471030.
2. How to calculate the LCM of 513, 715, 221, 494?
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, 715, 221, 494.
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}.