LCM of 285, 462, 465, 965
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 285, 462, 465, 965 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 285, 462, 465, 965. So, keep reading to learn more.
Given numbers are 285,462,465,965
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 285,462,465,965 is 262593870.
Find LCM of 285,462,465,965 with Prime Factorization
| 3 | 285, 462, 465, 965 |
| 5 | 95, 154, 155, 965 |
| 19, 154, 31, 193 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 19 x 154 x 31 x 193 = 262593870
Therefore, the lowest common multiple of 285,462,465,965 is 262593870.
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.
285 x 462 x 465 x 965 = 59083620750
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.
285 : 1, 3, 5, 15, 19, 57, 95, 285
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
465 : 1, 3, 5, 15, 31, 93, 155, 465
965 : 1, 5, 193, 965
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 285,462,465,965, is 1.
Now, the common factors can be found like this.
285:3x 5x 19
462:2x 3x 7x 11
465:3x 5x 31
965:5x 193
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 5 = 225
Therefore, the value for common factors is 225.
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 = 59083620750/(1x225)
LCM = 59083620750/225
LCM = 262593870
Thus, we can understand that the LCM of 285,462,465,965 is 262593870.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 285, 462, 465, 965
1. What is the LCM of 285, 462, 465, 965?
Answer: LCM of 285, 462, 465, 965 is 262593870.
2. How to calculate the LCM of 285, 462, 465, 965?
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 285, 462, 465, 965.
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}.