LCM of 446, 665, 760, 328, 629
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 446, 665, 760, 328, 629 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, 665, 760, 328, 629. So, keep reading to learn more.
Given numbers are 446,665,760,328,629
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 446,665,760,328,629 is 30595038040.
Find LCM of 446,665,760,328,629 with Prime Factorization
| 2 | 446, 665, 760, 328, 629 |
| 2 | 223, 665, 380, 164, 629 |
| 2 | 223, 665, 190, 82, 629 |
| 5 | 223, 665, 95, 41, 629 |
| 19 | 223, 133, 19, 41, 629 |
| 223, 7, 1, 41, 629 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 19 x 223 x 7 x 1 x 41 x 629 = 30595038040
Therefore, the lowest common multiple of 446,665,760,328,629 is 30595038040.
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 665 x 760 x 328 x 629 = 46504457820800
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
665 : 1, 5, 7, 19, 35, 95, 133, 665
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
328 : 1, 2, 4, 8, 41, 82, 164, 328
629 : 1, 17, 37, 629
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 446,665,760,328,629, is 1.
Now, the common factors can be found like this.
446:2x 223
665:5x 7x 19
760:2x 2x 2x 5x 19
328:2x 2x 2x 41
629:17x 37
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 2x 5x 19 = 1520
Therefore, the value for common factors is 1520.
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 = 46504457820800/(1x1520)
LCM = 46504457820800/1520
LCM = 30595038040
Thus, we can understand that the LCM of 446,665,760,328,629 is 30595038040.
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, 665, 760, 328, 629
1. What is the LCM of 446, 665, 760, 328, 629?
Answer: LCM of 446, 665, 760, 328, 629 is 30595038040.
2. How to calculate the LCM of 446, 665, 760, 328, 629?
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, 665, 760, 328, 629.
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}.