Find the LCM of 925, 601, 363, 592, 896 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 925, 601, 363, 592, 896. So, keep reading to learn more.
Given numbers are 925,601,363,592,896
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 925,601,363,592,896 is 180813494400.
Find LCM of 925,601,363,592,896 with Prime Factorization
2 | 925, 601, 363, 592, 896 |
2 | 925, 601, 363, 296, 448 |
2 | 925, 601, 363, 148, 224 |
2 | 925, 601, 363, 74, 112 |
37 | 925, 601, 363, 37, 56 |
25, 601, 363, 1, 56 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 37 x 25 x 601 x 363 x 1 x 56 = 180813494400
Therefore, the lowest common multiple of 925,601,363,592,896 is 180813494400.
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.
925 x 601 x 363 x 592 x 896 = 107041588684800
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.
925 : 1, 5, 25, 37, 185, 925
601 : 1, 601
363 : 1, 3, 11, 33, 121, 363
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 925,601,363,592,896, is 1.
Now, the common factors can be found like this.
925:5x 5x 37
601:601
363:3x 11x 11
592:2x 2x 2x 2x 37
896:2x 2x 2x 2x 2x 2x 2x 7
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 2x 37 = 592
Therefore, the value for common factors is 592.
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 = 107041588684800/(1x592)
LCM = 107041588684800/592
LCM = 180813494400
Thus, we can understand that the LCM of 925,601,363,592,896 is 180813494400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 925, 601, 363, 592, 896?
Answer: LCM of 925, 601, 363, 592, 896 is 180813494400.
2. How to calculate the LCM of 925, 601, 363, 592, 896?
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 925, 601, 363, 592, 896.
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}.