Find the LCM of 413, 442, 570, 971, 768 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 413, 442, 570, 971, 768. So, keep reading to learn more.
Given numbers are 413,442,570,971,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 413,442,570,971,768 is 6466159015680.
Find LCM of 413,442,570,971,768 with Prime Factorization
2 | 413, 442, 570, 971, 768 |
3 | 413, 221, 285, 971, 384 |
413, 221, 95, 971, 128 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 413 x 221 x 95 x 971 x 128 = 6466159015680
Therefore, the lowest common multiple of 413,442,570,971,768 is 6466159015680.
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.
413 x 442 x 570 x 971 x 768 = 77593908188160
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.
413 : 1, 7, 59, 413
442 : 1, 2, 13, 17, 26, 34, 221, 442
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
971 : 1, 971
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,442,570,971,768, is 1.
Now, the common factors can be found like this.
413:7x 59
442:2x 13x 17
570:2x 3x 5x 19
971:971
768:2x 2x 2x 2x 2x 2x 2x 2x 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 3 = 12
Therefore, the value for common factors is 12.
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 = 77593908188160/(1x12)
LCM = 77593908188160/12
LCM = 6466159015680
Thus, we can understand that the LCM of 413,442,570,971,768 is 6466159015680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 413, 442, 570, 971, 768?
Answer: LCM of 413, 442, 570, 971, 768 is 6466159015680.
2. How to calculate the LCM of 413, 442, 570, 971, 768?
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 413, 442, 570, 971, 768.
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}.