LCM of 447, 600, 596, 575, 957
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 447, 600, 596, 575, 957 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 447, 600, 596, 575, 957. So, keep reading to learn more.
Given numbers are 447,600,596,575,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 447,600,596,575,957 is 655927800.
Find LCM of 447,600,596,575,957 with Prime Factorization
| 2 | 447, 600, 596, 575, 957 |
| 2 | 447, 300, 298, 575, 957 |
| 3 | 447, 150, 149, 575, 957 |
| 5 | 149, 50, 149, 575, 319 |
| 5 | 149, 10, 149, 115, 319 |
| 149 | 149, 2, 149, 23, 319 |
| 1, 2, 1, 23, 319 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 149 x 1 x 2 x 1 x 23 x 319 = 655927800
Therefore, the lowest common multiple of 447,600,596,575,957 is 655927800.
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.
447 x 600 x 596 x 575 x 957 = 87959917980000
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.
447 : 1, 3, 149, 447
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
596 : 1, 2, 4, 149, 298, 596
575 : 1, 5, 23, 25, 115, 575
957 : 1, 3, 11, 29, 33, 87, 319, 957
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 447,600,596,575,957, is 1.
Now, the common factors can be found like this.
447:3x 149
600:2x 2x 2x 3x 5x 5
596:2x 2x 149
575:5x 5x 23
957:3x 11x 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 2x 3x 3x 5x 5x 149 = 134100
Therefore, the value for common factors is 134100.
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 = 87959917980000/(1x134100)
LCM = 87959917980000/134100
LCM = 655927800
Thus, we can understand that the LCM of 447,600,596,575,957 is 655927800.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 447, 600, 596, 575, 957
1. What is the LCM of 447, 600, 596, 575, 957?
Answer: LCM of 447, 600, 596, 575, 957 is 655927800.
2. How to calculate the LCM of 447, 600, 596, 575, 957?
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 447, 600, 596, 575, 957.
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}.