Find the LCM of 459, 456, 652, 640, 648 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 459, 456, 652, 640, 648. So, keep reading to learn more.
Given numbers are 459,456,652,640,648
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,456,652,640,648 is 2729324160.
Find LCM of 459,456,652,640,648 with Prime Factorization
2 | 459, 456, 652, 640, 648 |
2 | 459, 228, 326, 320, 324 |
2 | 459, 114, 163, 160, 162 |
3 | 459, 57, 163, 80, 81 |
3 | 153, 19, 163, 80, 27 |
3 | 51, 19, 163, 80, 9 |
17, 19, 163, 80, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 17 x 19 x 163 x 80 x 3 = 2729324160
Therefore, the lowest common multiple of 459,456,652,640,648 is 2729324160.
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.
459 x 456 x 652 x 640 x 648 = 56595265781760
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
652 : 1, 2, 4, 163, 326, 652
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,456,652,640,648, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
456:2x 2x 2x 3x 19
652:2x 2x 163
640:2x 2x 2x 2x 2x 2x 2x 5
648:2x 2x 2x 3x 3x 3x 3
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 2x 2x 2x 2x 2x 2x 3x 3x 3x 3 = 20736
Therefore, the value for common factors is 20736.
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 = 56595265781760/(1x20736)
LCM = 56595265781760/20736
LCM = 2729324160
Thus, we can understand that the LCM of 459,456,652,640,648 is 2729324160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 459, 456, 652, 640, 648?
Answer: LCM of 459, 456, 652, 640, 648 is 2729324160.
2. How to calculate the LCM of 459, 456, 652, 640, 648?
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 459, 456, 652, 640, 648.
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}.