LCM of 404, 209, 551, 456
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 404, 209, 551, 456 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 404, 209, 551, 456. So, keep reading to learn more.
Given numbers are 404,209,551,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 404,209,551,456 is 14691864.
Find LCM of 404,209,551,456 with Prime Factorization
| 2 | 404, 209, 551, 456 |
| 2 | 202, 209, 551, 228 |
| 19 | 101, 209, 551, 114 |
| 101, 11, 29, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 101 x 11 x 29 x 6 = 14691864
Therefore, the lowest common multiple of 404,209,551,456 is 14691864.
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.
404 x 209 x 551 x 456 = 21215051616
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.
404 : 1, 2, 4, 101, 202, 404
209 : 1, 11, 19, 209
551 : 1, 19, 29, 551
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 404,209,551,456, is 1.
Now, the common factors can be found like this.
404:2x 2x 101
209:11x 19
551:19x 29
456:2x 2x 2x 3x 19
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 19x 19 = 1444
Therefore, the value for common factors is 1444.
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 = 21215051616/(1x1444)
LCM = 21215051616/1444
LCM = 14691864
Thus, we can understand that the LCM of 404,209,551,456 is 14691864.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 404, 209, 551, 456
1. What is the LCM of 404, 209, 551, 456?
Answer: LCM of 404, 209, 551, 456 is 14691864.
2. How to calculate the LCM of 404, 209, 551, 456?
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 404, 209, 551, 456.
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}.