Find the LCM of 964, 765, 144, 912, 829 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 964, 765, 144, 912, 829. So, keep reading to learn more.
Given numbers are 964,765,144,912,829
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,765,144,912,829 is 46462929840.
Find LCM of 964,765,144,912,829 with Prime Factorization
2 | 964, 765, 144, 912, 829 |
2 | 482, 765, 72, 456, 829 |
2 | 241, 765, 36, 228, 829 |
2 | 241, 765, 18, 114, 829 |
3 | 241, 765, 9, 57, 829 |
3 | 241, 255, 3, 19, 829 |
241, 85, 1, 19, 829 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 241 x 85 x 1 x 19 x 829 = 46462929840
Therefore, the lowest common multiple of 964,765,144,912,829 is 46462929840.
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.
964 x 765 x 144 x 912 x 829 = 80287942763520
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.
964 : 1, 2, 4, 241, 482, 964
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
829 : 1, 829
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,765,144,912,829, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
765:3x 3x 5x 17
144:2x 2x 2x 2x 3x 3
912:2x 2x 2x 2x 3x 19
829:829
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 2x 2x 3x 3x 3 = 1728
Therefore, the value for common factors is 1728.
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 = 80287942763520/(1x1728)
LCM = 80287942763520/1728
LCM = 46462929840
Thus, we can understand that the LCM of 964,765,144,912,829 is 46462929840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 964, 765, 144, 912, 829?
Answer: LCM of 964, 765, 144, 912, 829 is 46462929840.
2. How to calculate the LCM of 964, 765, 144, 912, 829?
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 964, 765, 144, 912, 829.
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}.