Find the LCM of 963, 901, 649, 603, 465 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, 901, 649, 603, 465. So, keep reading to learn more.
Given numbers are 963,901,649,603,465
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 963,901,649,603,465 is 5847931485495.
Find LCM of 963,901,649,603,465 with Prime Factorization
3 | 963, 901, 649, 603, 465 |
3 | 321, 901, 649, 201, 155 |
107, 901, 649, 67, 155 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 107 x 901 x 649 x 67 x 155 = 5847931485495
Therefore, the lowest common multiple of 963,901,649,603,465 is 5847931485495.
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 901 x 649 x 603 x 465 = 157894150108365
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
901 : 1, 17, 53, 901
649 : 1, 11, 59, 649
603 : 1, 3, 9, 67, 201, 603
465 : 1, 3, 5, 15, 31, 93, 155, 465
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 963,901,649,603,465, is 1.
Now, the common factors can be found like this.
963:3x 3x 107
901:17x 53
649:11x 59
603:3x 3x 67
465:3x 5x 31
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 3 = 27
Therefore, the value for common factors is 27.
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 = 157894150108365/(1x27)
LCM = 157894150108365/27
LCM = 5847931485495
Thus, we can understand that the LCM of 963,901,649,603,465 is 5847931485495.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 963, 901, 649, 603, 465?
Answer: LCM of 963, 901, 649, 603, 465 is 5847931485495.
2. How to calculate the LCM of 963, 901, 649, 603, 465?
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, 901, 649, 603, 465.
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}.