Find the LCM of 496, 898, 327, 924, 898 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 496, 898, 327, 924, 898. So, keep reading to learn more.
Given numbers are 496,898,327,924,898
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 496,898,327,924,898 is 5607464016.
Find LCM of 496,898,327,924,898 with Prime Factorization
2 | 496, 898, 327, 924, 898 |
2 | 248, 449, 327, 462, 449 |
3 | 124, 449, 327, 231, 449 |
449 | 124, 449, 109, 77, 449 |
124, 1, 109, 77, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 449 x 124 x 1 x 109 x 77 x 1 = 5607464016
Therefore, the lowest common multiple of 496,898,327,924,898 is 5607464016.
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.
496 x 898 x 327 x 924 x 898 = 120852064472832
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.
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
898 : 1, 2, 449, 898
327 : 1, 3, 109, 327
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
898 : 1, 2, 449, 898
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,898,327,924,898, is 1.
Now, the common factors can be found like this.
496:2x 2x 2x 2x 31
898:2x 449
327:3x 109
924:2x 2x 3x 7x 11
898:2x 449
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 3x 449 = 21552
Therefore, the value for common factors is 21552.
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 = 120852064472832/(1x21552)
LCM = 120852064472832/21552
LCM = 5607464016
Thus, we can understand that the LCM of 496,898,327,924,898 is 5607464016.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 496, 898, 327, 924, 898?
Answer: LCM of 496, 898, 327, 924, 898 is 5607464016.
2. How to calculate the LCM of 496, 898, 327, 924, 898?
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 496, 898, 327, 924, 898.
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}.