LCM of 963, 330, 283, 259, 446
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 963, 330, 283, 259, 446 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 963, 330, 283, 259, 446. So, keep reading to learn more.
Given numbers are 963,330,283,259,446
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 963,330,283,259,446 is 1731450319830.
Find LCM of 963,330,283,259,446 with Prime Factorization
| 2 | 963, 330, 283, 259, 446 |
| 3 | 963, 165, 283, 259, 223 |
| 321, 55, 283, 259, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 321 x 55 x 283 x 259 x 223 = 1731450319830
Therefore, the lowest common multiple of 963,330,283,259,446 is 1731450319830.
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.
963 x 330 x 283 x 259 x 446 = 10388701918980
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.
963 : 1, 3, 9, 107, 321, 963
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
283 : 1, 283
259 : 1, 7, 37, 259
446 : 1, 2, 223, 446
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 963,330,283,259,446, is 1.
Now, the common factors can be found like this.
963:3x 3x 107
330:2x 3x 5x 11
283:283
259:7x 37
446:2x 223
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 10388701918980/(1x6)
LCM = 10388701918980/6
LCM = 1731450319830
Thus, we can understand that the LCM of 963,330,283,259,446 is 1731450319830.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 963, 330, 283, 259, 446
1. What is the LCM of 963, 330, 283, 259, 446?
Answer: LCM of 963, 330, 283, 259, 446 is 1731450319830.
2. How to calculate the LCM of 963, 330, 283, 259, 446?
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 963, 330, 283, 259, 446.
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}.