LCM of 283, 742, 566, 315, 395
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 283, 742, 566, 315, 395 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 283, 742, 566, 315, 395. So, keep reading to learn more.
Given numbers are 283,742,566,315,395
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 283,742,566,315,395 is 746500230.
Find LCM of 283,742,566,315,395 with Prime Factorization
| 2 | 283, 742, 566, 315, 395 |
| 5 | 283, 371, 283, 315, 395 |
| 7 | 283, 371, 283, 63, 79 |
| 283 | 283, 53, 283, 9, 79 |
| 1, 53, 1, 9, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 283 x 1 x 53 x 1 x 9 x 79 = 746500230
Therefore, the lowest common multiple of 283,742,566,315,395 is 746500230.
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.
283 x 742 x 566 x 315 x 395 = 14788169556300
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.
283 : 1, 283
742 : 1, 2, 7, 14, 53, 106, 371, 742
566 : 1, 2, 283, 566
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
395 : 1, 5, 79, 395
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,742,566,315,395, is 1.
Now, the common factors can be found like this.
283:283
742:2x 7x 53
566:2x 283
315:3x 3x 5x 7
395:5x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7x 283 = 19810
Therefore, the value for common factors is 19810.
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 = 14788169556300/(1x19810)
LCM = 14788169556300/19810
LCM = 746500230
Thus, we can understand that the LCM of 283,742,566,315,395 is 746500230.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 283, 742, 566, 315, 395
1. What is the LCM of 283, 742, 566, 315, 395?
Answer: LCM of 283, 742, 566, 315, 395 is 746500230.
2. How to calculate the LCM of 283, 742, 566, 315, 395?
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 283, 742, 566, 315, 395.
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}.