Find the LCM of 965, 583, 885, 954, 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 965, 583, 885, 954, 465. So, keep reading to learn more.
Given numbers are 965,583,885,954,465
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 965,583,885,954,465 is 18521752590.
Find LCM of 965,583,885,954,465 with Prime Factorization
3 | 965, 583, 885, 954, 465 |
5 | 965, 583, 295, 318, 155 |
53 | 193, 583, 59, 318, 31 |
193, 11, 59, 6, 31 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 53 x 193 x 11 x 59 x 6 x 31 = 18521752590
Therefore, the lowest common multiple of 965,583,885,954,465 is 18521752590.
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.
965 x 583 x 885 x 954 x 465 = 220871899635750
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.
965 : 1, 5, 193, 965
583 : 1, 11, 53, 583
885 : 1, 3, 5, 15, 59, 177, 295, 885
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
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 965,583,885,954,465, is 1.
Now, the common factors can be found like this.
965:5x 193
583:11x 53
885:3x 5x 59
954:2x 3x 3x 53
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 5x 5x 53 = 11925
Therefore, the value for common factors is 11925.
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 = 220871899635750/(1x11925)
LCM = 220871899635750/11925
LCM = 18521752590
Thus, we can understand that the LCM of 965,583,885,954,465 is 18521752590.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 965, 583, 885, 954, 465?
Answer: LCM of 965, 583, 885, 954, 465 is 18521752590.
2. How to calculate the LCM of 965, 583, 885, 954, 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 965, 583, 885, 954, 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}.