LCM of 198, 477, 206, 974, 404
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 198, 477, 206, 974, 404 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 198, 477, 206, 974, 404. So, keep reading to learn more.
Given numbers are 198,477,206,974,404
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 198,477,206,974,404 is 106330685868.
Find LCM of 198,477,206,974,404 with Prime Factorization
| 2 | 198, 477, 206, 974, 404 |
| 3 | 99, 477, 103, 487, 202 |
| 3 | 33, 159, 103, 487, 202 |
| 11, 53, 103, 487, 202 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 53 x 103 x 487 x 202 = 106330685868
Therefore, the lowest common multiple of 198,477,206,974,404 is 106330685868.
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.
198 x 477 x 206 x 974 x 404 = 7655809382496
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.
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
477 : 1, 3, 9, 53, 159, 477
206 : 1, 2, 103, 206
974 : 1, 2, 487, 974
404 : 1, 2, 4, 101, 202, 404
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,477,206,974,404, is 1.
Now, the common factors can be found like this.
198:2x 3x 3x 11
477:3x 3x 53
206:2x 103
974:2x 487
404:2x 2x 101
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 3 = 72
Therefore, the value for common factors is 72.
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 = 7655809382496/(1x72)
LCM = 7655809382496/72
LCM = 106330685868
Thus, we can understand that the LCM of 198,477,206,974,404 is 106330685868.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 198, 477, 206, 974, 404
1. What is the LCM of 198, 477, 206, 974, 404?
Answer: LCM of 198, 477, 206, 974, 404 is 106330685868.
2. How to calculate the LCM of 198, 477, 206, 974, 404?
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 198, 477, 206, 974, 404.
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}.