Find the LCM of 963, 432, 891, 496, 745 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, 432, 891, 496, 745. So, keep reading to learn more.
Given numbers are 963,432,891,496,745
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 963,432,891,496,745 is 35228928240.
Find LCM of 963,432,891,496,745 with Prime Factorization
2 | 963, 432, 891, 496, 745 |
2 | 963, 216, 891, 248, 745 |
2 | 963, 108, 891, 124, 745 |
2 | 963, 54, 891, 62, 745 |
3 | 963, 27, 891, 31, 745 |
3 | 321, 9, 297, 31, 745 |
3 | 107, 3, 99, 31, 745 |
107, 1, 33, 31, 745 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 3 x 107 x 1 x 33 x 31 x 745 = 35228928240
Therefore, the lowest common multiple of 963,432,891,496,745 is 35228928240.
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 432 x 891 x 496 x 745 = 136970072997120
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
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
745 : 1, 5, 149, 745
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 963,432,891,496,745, is 1.
Now, the common factors can be found like this.
963:3x 3x 107
432:2x 2x 2x 2x 3x 3x 3
891:3x 3x 3x 3x 11
496:2x 2x 2x 2x 31
745:5x 149
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 3x 3x 3x 3x 3 = 3888
Therefore, the value for common factors is 3888.
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 = 136970072997120/(1x3888)
LCM = 136970072997120/3888
LCM = 35228928240
Thus, we can understand that the LCM of 963,432,891,496,745 is 35228928240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 963, 432, 891, 496, 745?
Answer: LCM of 963, 432, 891, 496, 745 is 35228928240.
2. How to calculate the LCM of 963, 432, 891, 496, 745?
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, 432, 891, 496, 745.
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}.