LCM of 515, 238, 506, 442, 598
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 515, 238, 506, 442, 598 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 515, 238, 506, 442, 598. So, keep reading to learn more.
Given numbers are 515,238,506,442,598
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,238,506,442,598 is 403132730.
Find LCM of 515,238,506,442,598 with Prime Factorization
| 2 | 515, 238, 506, 442, 598 |
| 13 | 515, 119, 253, 221, 299 |
| 17 | 515, 119, 253, 17, 23 |
| 23 | 515, 7, 253, 1, 23 |
| 515, 7, 11, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 23 x 515 x 7 x 11 x 1 x 1 = 403132730
Therefore, the lowest common multiple of 515,238,506,442,598 is 403132730.
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.
515 x 238 x 506 x 442 x 598 = 16392989332720
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.
515 : 1, 5, 103, 515
238 : 1, 2, 7, 14, 17, 34, 119, 238
506 : 1, 2, 11, 22, 23, 46, 253, 506
442 : 1, 2, 13, 17, 26, 34, 221, 442
598 : 1, 2, 13, 23, 26, 46, 299, 598
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,238,506,442,598, is 1.
Now, the common factors can be found like this.
515:5x 103
238:2x 7x 17
506:2x 11x 23
442:2x 13x 17
598:2x 13x 23
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 13x 17x 23 = 40664
Therefore, the value for common factors is 40664.
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 = 16392989332720/(1x40664)
LCM = 16392989332720/40664
LCM = 403132730
Thus, we can understand that the LCM of 515,238,506,442,598 is 403132730.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 515, 238, 506, 442, 598
1. What is the LCM of 515, 238, 506, 442, 598?
Answer: LCM of 515, 238, 506, 442, 598 is 403132730.
2. How to calculate the LCM of 515, 238, 506, 442, 598?
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 515, 238, 506, 442, 598.
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}.