LCM of 965, 462, 957, 522
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 965, 462, 957, 522 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, 462, 957, 522. So, keep reading to learn more.
Given numbers are 965,462,957,522
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 965,462,957,522 is 38787210.
Find LCM of 965,462,957,522 with Prime Factorization
| 2 | 965, 462, 957, 522 |
| 3 | 965, 231, 957, 261 |
| 11 | 965, 77, 319, 87 |
| 29 | 965, 7, 29, 87 |
| 965, 7, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 29 x 965 x 7 x 1 x 3 = 38787210
Therefore, the lowest common multiple of 965,462,957,522 is 38787210.
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 462 x 957 x 522 = 222716159820
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
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
957 : 1, 3, 11, 29, 33, 87, 319, 957
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 965,462,957,522, is 1.
Now, the common factors can be found like this.
965:5x 193
462:2x 3x 7x 11
957:3x 11x 29
522:2x 3x 3x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 11x 29 = 5742
Therefore, the value for common factors is 5742.
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 = 222716159820/(1x5742)
LCM = 222716159820/5742
LCM = 38787210
Thus, we can understand that the LCM of 965,462,957,522 is 38787210.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 965, 462, 957, 522
1. What is the LCM of 965, 462, 957, 522?
Answer: LCM of 965, 462, 957, 522 is 38787210.
2. How to calculate the LCM of 965, 462, 957, 522?
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, 462, 957, 522.
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}.