LCM of 477, 256, 901, 386, 849
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 477, 256, 901, 386, 849 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 477, 256, 901, 386, 849. So, keep reading to learn more.
Given numbers are 477,256,901,386,849
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 477,256,901,386,849 is 113383800576.
Find LCM of 477,256,901,386,849 with Prime Factorization
| 2 | 477, 256, 901, 386, 849 |
| 3 | 477, 128, 901, 193, 849 |
| 53 | 159, 128, 901, 193, 283 |
| 3, 128, 17, 193, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 53 x 3 x 128 x 17 x 193 x 283 = 113383800576
Therefore, the lowest common multiple of 477,256,901,386,849 is 113383800576.
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.
477 x 256 x 901 x 386 x 849 = 36056048583168
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.
477 : 1, 3, 9, 53, 159, 477
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
901 : 1, 17, 53, 901
386 : 1, 2, 193, 386
849 : 1, 3, 283, 849
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 477,256,901,386,849, is 1.
Now, the common factors can be found like this.
477:3x 3x 53
256:2x 2x 2x 2x 2x 2x 2x 2
901:17x 53
386:2x 193
849:3x 283
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 53 = 318
Therefore, the value for common factors is 318.
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 = 36056048583168/(1x318)
LCM = 36056048583168/318
LCM = 113383800576
Thus, we can understand that the LCM of 477,256,901,386,849 is 113383800576.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 477, 256, 901, 386, 849
1. What is the LCM of 477, 256, 901, 386, 849?
Answer: LCM of 477, 256, 901, 386, 849 is 113383800576.
2. How to calculate the LCM of 477, 256, 901, 386, 849?
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 477, 256, 901, 386, 849.
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}.