Find the LCM of 559, 624, 442, 926, 385 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 559, 624, 442, 926, 385. So, keep reading to learn more.
Given numbers are 559,624,442,926,385
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 559,624,442,926,385 is 81309948720.
Find LCM of 559,624,442,926,385 with Prime Factorization
2 | 559, 624, 442, 926, 385 |
13 | 559, 312, 221, 463, 385 |
43, 24, 17, 463, 385 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 43 x 24 x 17 x 463 x 385 = 81309948720
Therefore, the lowest common multiple of 559,624,442,926,385 is 81309948720.
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.
559 x 624 x 442 x 926 x 385 = 54965525334720
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.
559 : 1, 13, 43, 559
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
442 : 1, 2, 13, 17, 26, 34, 221, 442
926 : 1, 2, 463, 926
385 : 1, 5, 7, 11, 35, 55, 77, 385
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 559,624,442,926,385, is 1.
Now, the common factors can be found like this.
559:13x 43
624:2x 2x 2x 2x 3x 13
442:2x 13x 17
926:2x 463
385:5x 7x 11
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 13x 13 = 676
Therefore, the value for common factors is 676.
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 = 54965525334720/(1x676)
LCM = 54965525334720/676
LCM = 81309948720
Thus, we can understand that the LCM of 559,624,442,926,385 is 81309948720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 559, 624, 442, 926, 385?
Answer: LCM of 559, 624, 442, 926, 385 is 81309948720.
2. How to calculate the LCM of 559, 624, 442, 926, 385?
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 559, 624, 442, 926, 385.
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}.