Find the LCM of 768, 245, 936, 397, 415 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 768, 245, 936, 397, 415. So, keep reading to learn more.
Given numbers are 768,245,936,397,415
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 768,245,936,397,415 is 241802346240.
Find LCM of 768,245,936,397,415 with Prime Factorization
2 | 768, 245, 936, 397, 415 |
2 | 384, 245, 468, 397, 415 |
2 | 192, 245, 234, 397, 415 |
3 | 96, 245, 117, 397, 415 |
5 | 32, 245, 39, 397, 415 |
32, 49, 39, 397, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 32 x 49 x 39 x 397 x 83 = 241802346240
Therefore, the lowest common multiple of 768,245,936,397,415 is 241802346240.
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.
768 x 245 x 936 x 397 x 415 = 29016281548800
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.
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
245 : 1, 5, 7, 35, 49, 245
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
397 : 1, 397
415 : 1, 5, 83, 415
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,245,936,397,415, is 1.
Now, the common factors can be found like this.
768:2x 2x 2x 2x 2x 2x 2x 2x 3
245:5x 7x 7
936:2x 2x 2x 3x 3x 13
397:397
415:5x 83
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 5 = 120
Therefore, the value for common factors is 120.
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 = 29016281548800/(1x120)
LCM = 29016281548800/120
LCM = 241802346240
Thus, we can understand that the LCM of 768,245,936,397,415 is 241802346240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 768, 245, 936, 397, 415?
Answer: LCM of 768, 245, 936, 397, 415 is 241802346240.
2. How to calculate the LCM of 768, 245, 936, 397, 415?
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 768, 245, 936, 397, 415.
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}.