LCM of 963, 629, 697, 924, 207
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 963, 629, 697, 924, 207 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, 629, 697, 924, 207. So, keep reading to learn more.
Given numbers are 963,629,697,924,207
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 963,629,697,924,207 is 175929772788.
Find LCM of 963,629,697,924,207 with Prime Factorization
| 3 | 963, 629, 697, 924, 207 |
| 3 | 321, 629, 697, 308, 69 |
| 17 | 107, 629, 697, 308, 23 |
| 107, 37, 41, 308, 23 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 17 x 107 x 37 x 41 x 308 x 23 = 175929772788
Therefore, the lowest common multiple of 963,629,697,924,207 is 175929772788.
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 629 x 697 x 924 x 207 = 80751765709692
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
629 : 1, 17, 37, 629
697 : 1, 17, 41, 697
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
207 : 1, 3, 9, 23, 69, 207
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 963,629,697,924,207, is 1.
Now, the common factors can be found like this.
963:3x 3x 107
629:17x 37
697:17x 41
924:2x 2x 3x 7x 11
207:3x 3x 23
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 17 = 459
Therefore, the value for common factors is 459.
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 = 80751765709692/(1x459)
LCM = 80751765709692/459
LCM = 175929772788
Thus, we can understand that the LCM of 963,629,697,924,207 is 175929772788.
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FAQs on LCM of 963, 629, 697, 924, 207
1. What is the LCM of 963, 629, 697, 924, 207?
Answer: LCM of 963, 629, 697, 924, 207 is 175929772788.
2. How to calculate the LCM of 963, 629, 697, 924, 207?
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, 629, 697, 924, 207.
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}.