Find the LCM of 460, 638, 315, 720 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 460, 638, 315, 720. So, keep reading to learn more.
Given numbers are 460,638,315,720
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 460,638,315,720 is 36978480.
Find LCM of 460,638,315,720 with Prime Factorization
2 | 460, 638, 315, 720 |
2 | 230, 319, 315, 360 |
3 | 115, 319, 315, 180 |
3 | 115, 319, 105, 60 |
5 | 115, 319, 35, 20 |
23, 319, 7, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 23 x 319 x 7 x 4 = 36978480
Therefore, the lowest common multiple of 460,638,315,720 is 36978480.
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.
460 x 638 x 315 x 720 = 66561264000
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.
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
638 : 1, 2, 11, 22, 29, 58, 319, 638
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,638,315,720, is 1.
Now, the common factors can be found like this.
460:2x 2x 5x 23
638:2x 11x 29
315:3x 3x 5x 7
720:2x 2x 2x 2x 3x 3x 5
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 3x 3x 5x 5 = 1800
Therefore, the value for common factors is 1800.
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 = 66561264000/(1x1800)
LCM = 66561264000/1800
LCM = 36978480
Thus, we can understand that the LCM of 460,638,315,720 is 36978480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 460, 638, 315, 720?
Answer: LCM of 460, 638, 315, 720 is 36978480.
2. How to calculate the LCM of 460, 638, 315, 720?
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 460, 638, 315, 720.
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}.