LCM of 779, 738, 803, 418, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 779, 738, 803, 418, 144 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 779, 738, 803, 418, 144. So, keep reading to learn more.
Given numbers are 779,738,803,418,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 779,738,803,418,144 is 90077328.
Find LCM of 779,738,803,418,144 with Prime Factorization
| 2 | 779, 738, 803, 418, 144 |
| 3 | 779, 369, 803, 209, 72 |
| 3 | 779, 123, 803, 209, 24 |
| 11 | 779, 41, 803, 209, 8 |
| 19 | 779, 41, 73, 19, 8 |
| 41 | 41, 41, 73, 1, 8 |
| 1, 1, 73, 1, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 19 x 41 x 1 x 1 x 73 x 1 x 8 = 90077328
Therefore, the lowest common multiple of 779,738,803,418,144 is 90077328.
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.
779 x 738 x 803 x 418 x 144 = 27787414450752
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.
779 : 1, 19, 41, 779
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
803 : 1, 11, 73, 803
418 : 1, 2, 11, 19, 22, 38, 209, 418
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,738,803,418,144, is 1.
Now, the common factors can be found like this.
779:19x 41
738:2x 3x 3x 41
803:11x 73
418:2x 11x 19
144:2x 2x 2x 2x 3x 3
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 3x 3x 11x 19x 41 = 308484
Therefore, the value for common factors is 308484.
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 = 27787414450752/(1x308484)
LCM = 27787414450752/308484
LCM = 90077328
Thus, we can understand that the LCM of 779,738,803,418,144 is 90077328.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 779, 738, 803, 418, 144
1. What is the LCM of 779, 738, 803, 418, 144?
Answer: LCM of 779, 738, 803, 418, 144 is 90077328.
2. How to calculate the LCM of 779, 738, 803, 418, 144?
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 779, 738, 803, 418, 144.
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}.