Find the LCM of 698, 579, 159, 471, 990 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 698, 579, 159, 471, 990. So, keep reading to learn more.
Given numbers are 698,579,159,471,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 698,579,159,471,990 is 554872821030.
Find LCM of 698,579,159,471,990 with Prime Factorization
2 | 698, 579, 159, 471, 990 |
3 | 349, 579, 159, 471, 495 |
349, 193, 53, 157, 165 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 349 x 193 x 53 x 157 x 165 = 554872821030
Therefore, the lowest common multiple of 698,579,159,471,990 is 554872821030.
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.
698 x 579 x 159 x 471 x 990 = 29963132335620
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.
698 : 1, 2, 349, 698
579 : 1, 3, 193, 579
159 : 1, 3, 53, 159
471 : 1, 3, 157, 471
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,579,159,471,990, is 1.
Now, the common factors can be found like this.
698:2x 349
579:3x 193
159:3x 53
471:3x 157
990:2x 3x 3x 5x 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 3x 3x 3 = 54
Therefore, the value for common factors is 54.
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 = 29963132335620/(1x54)
LCM = 29963132335620/54
LCM = 554872821030
Thus, we can understand that the LCM of 698,579,159,471,990 is 554872821030.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 698, 579, 159, 471, 990?
Answer: LCM of 698, 579, 159, 471, 990 is 554872821030.
2. How to calculate the LCM of 698, 579, 159, 471, 990?
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 698, 579, 159, 471, 990.
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}.