LCM of 583, 442, 459, 225, 313
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 583, 442, 459, 225, 313 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 583, 442, 459, 225, 313. So, keep reading to learn more.
Given numbers are 583,442,459,225,313
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 583,442,459,225,313 is 54442609650.
Find LCM of 583,442,459,225,313 with Prime Factorization
| 3 | 583, 442, 459, 225, 313 |
| 3 | 583, 442, 153, 75, 313 |
| 17 | 583, 442, 51, 25, 313 |
| 583, 26, 3, 25, 313 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 17 x 583 x 26 x 3 x 25 x 313 = 54442609650
Therefore, the lowest common multiple of 583,442,459,225,313 is 54442609650.
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.
583 x 442 x 459 x 225 x 313 = 8329719276450
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.
583 : 1, 11, 53, 583
442 : 1, 2, 13, 17, 26, 34, 221, 442
459 : 1, 3, 9, 17, 27, 51, 153, 459
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
313 : 1, 313
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,442,459,225,313, is 1.
Now, the common factors can be found like this.
583:11x 53
442:2x 13x 17
459:3x 3x 3x 17
225:3x 3x 5x 5
313:313
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 17 = 153
Therefore, the value for common factors is 153.
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 = 8329719276450/(1x153)
LCM = 8329719276450/153
LCM = 54442609650
Thus, we can understand that the LCM of 583,442,459,225,313 is 54442609650.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 583, 442, 459, 225, 313
1. What is the LCM of 583, 442, 459, 225, 313?
Answer: LCM of 583, 442, 459, 225, 313 is 54442609650.
2. How to calculate the LCM of 583, 442, 459, 225, 313?
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 583, 442, 459, 225, 313.
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}.