Find the LCM of 480, 383, 899, 661, 493 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 480, 383, 899, 661, 493. So, keep reading to learn more.
Given numbers are 480,383,899,661,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 480,383,899,661,493 is 1857163261920.
Find LCM of 480,383,899,661,493 with Prime Factorization
29 | 480, 383, 899, 661, 493 |
480, 383, 31, 661, 17 |
Multiply the prime numbers at the bottom and the left side.
29 x 480 x 383 x 31 x 661 x 17 = 1857163261920
Therefore, the lowest common multiple of 480,383,899,661,493 is 1857163261920.
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.
480 x 383 x 899 x 661 x 493 = 53857734595680
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.
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
383 : 1, 383
899 : 1, 29, 31, 899
661 : 1, 661
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,383,899,661,493, is 1.
Now, the common factors can be found like this.
480:2x 2x 2x 2x 2x 3x 5
383:383
899:29x 31
661:661
493:17x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
29 = 29
Therefore, the value for common factors is 29.
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 = 53857734595680/(1x29)
LCM = 53857734595680/29
LCM = 1857163261920
Thus, we can understand that the LCM of 480,383,899,661,493 is 1857163261920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 480, 383, 899, 661, 493?
Answer: LCM of 480, 383, 899, 661, 493 is 1857163261920.
2. How to calculate the LCM of 480, 383, 899, 661, 493?
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 480, 383, 899, 661, 493.
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}.