LCM of 330, 451, 460, 410, 723
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 330, 451, 460, 410, 723 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 330, 451, 460, 410, 723. So, keep reading to learn more.
Given numbers are 330,451,460,410,723
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,451,460,410,723 is 149993580.
Find LCM of 330,451,460,410,723 with Prime Factorization
| 2 | 330, 451, 460, 410, 723 |
| 3 | 165, 451, 230, 205, 723 |
| 5 | 55, 451, 230, 205, 241 |
| 11 | 11, 451, 46, 41, 241 |
| 41 | 1, 41, 46, 41, 241 |
| 1, 1, 46, 1, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 41 x 1 x 1 x 46 x 1 x 241 = 149993580
Therefore, the lowest common multiple of 330,451,460,410,723 is 149993580.
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.
330 x 451 x 460 x 410 x 723 = 20294131374000
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.
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
451 : 1, 11, 41, 451
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
410 : 1, 2, 5, 10, 41, 82, 205, 410
723 : 1, 3, 241, 723
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,451,460,410,723, is 1.
Now, the common factors can be found like this.
330:2x 3x 5x 11
451:11x 41
460:2x 2x 5x 23
410:2x 5x 41
723:3x 241
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 3x 5x 5x 11x 41 = 135300
Therefore, the value for common factors is 135300.
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 = 20294131374000/(1x135300)
LCM = 20294131374000/135300
LCM = 149993580
Thus, we can understand that the LCM of 330,451,460,410,723 is 149993580.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 330, 451, 460, 410, 723
1. What is the LCM of 330, 451, 460, 410, 723?
Answer: LCM of 330, 451, 460, 410, 723 is 149993580.
2. How to calculate the LCM of 330, 451, 460, 410, 723?
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 330, 451, 460, 410, 723.
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}.