LCM of 446, 667, 593, 493, 362
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 446, 667, 593, 493, 362 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 446, 667, 593, 493, 362. So, keep reading to learn more.
Given numbers are 446,667,593,493,362
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 446,667,593,493,362 is 542803803602.
Find LCM of 446,667,593,493,362 with Prime Factorization
| 2 | 446, 667, 593, 493, 362 |
| 29 | 223, 667, 593, 493, 181 |
| 223, 23, 593, 17, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 29 x 223 x 23 x 593 x 17 x 181 = 542803803602
Therefore, the lowest common multiple of 446,667,593,493,362 is 542803803602.
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.
446 x 667 x 593 x 493 x 362 = 31482620608916
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.
446 : 1, 2, 223, 446
667 : 1, 23, 29, 667
593 : 1, 593
493 : 1, 17, 29, 493
362 : 1, 2, 181, 362
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 446,667,593,493,362, is 1.
Now, the common factors can be found like this.
446:2x 223
667:23x 29
593:593
493:17x 29
362:2x 181
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 29 = 58
Therefore, the value for common factors is 58.
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 = 31482620608916/(1x58)
LCM = 31482620608916/58
LCM = 542803803602
Thus, we can understand that the LCM of 446,667,593,493,362 is 542803803602.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 446, 667, 593, 493, 362
1. What is the LCM of 446, 667, 593, 493, 362?
Answer: LCM of 446, 667, 593, 493, 362 is 542803803602.
2. How to calculate the LCM of 446, 667, 593, 493, 362?
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 446, 667, 593, 493, 362.
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}.