LCM of 963, 963, 525, 279, 623
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 963, 963, 525, 279, 623 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, 963, 525, 279, 623. So, keep reading to learn more.
Given numbers are 963,963,525,279,623
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 963,963,525,279,623 is 464960475.
Find LCM of 963,963,525,279,623 with Prime Factorization
| 3 | 963, 963, 525, 279, 623 |
| 3 | 321, 321, 175, 93, 623 |
| 7 | 107, 107, 175, 31, 623 |
| 107 | 107, 107, 25, 31, 89 |
| 1, 1, 25, 31, 89 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 107 x 1 x 1 x 25 x 31 x 89 = 464960475
Therefore, the lowest common multiple of 963,963,525,279,623 is 464960475.
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 963 x 525 x 279 x 623 = 84626061173325
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
963 : 1, 3, 9, 107, 321, 963
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
279 : 1, 3, 9, 31, 93, 279
623 : 1, 7, 89, 623
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 963,963,525,279,623, is 1.
Now, the common factors can be found like this.
963:3x 3x 107
963:3x 3x 107
525:3x 5x 5x 7
279:3x 3x 31
623:7x 89
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 3x 3x 3x 7x 107 = 182007
Therefore, the value for common factors is 182007.
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 = 84626061173325/(1x182007)
LCM = 84626061173325/182007
LCM = 464960475
Thus, we can understand that the LCM of 963,963,525,279,623 is 464960475.
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, 963, 525, 279, 623
1. What is the LCM of 963, 963, 525, 279, 623?
Answer: LCM of 963, 963, 525, 279, 623 is 464960475.
2. How to calculate the LCM of 963, 963, 525, 279, 623?
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, 963, 525, 279, 623.
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}.