LCM of 305, 404, 101, 790, 667
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 305, 404, 101, 790, 667 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 305, 404, 101, 790, 667. So, keep reading to learn more.
Given numbers are 305,404,101,790,667
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 305,404,101,790,667 is 6492831460.
Find LCM of 305,404,101,790,667 with Prime Factorization
| 2 | 305, 404, 101, 790, 667 |
| 5 | 305, 202, 101, 395, 667 |
| 101 | 61, 202, 101, 79, 667 |
| 61, 2, 1, 79, 667 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 101 x 61 x 2 x 1 x 79 x 667 = 6492831460
Therefore, the lowest common multiple of 305,404,101,790,667 is 6492831460.
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.
305 x 404 x 101 x 790 x 667 = 6557759774600
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.
305 : 1, 5, 61, 305
404 : 1, 2, 4, 101, 202, 404
101 : 1, 101
790 : 1, 2, 5, 10, 79, 158, 395, 790
667 : 1, 23, 29, 667
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,404,101,790,667, is 1.
Now, the common factors can be found like this.
305:5x 61
404:2x 2x 101
101:101
790:2x 5x 79
667:23x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 101 = 1010
Therefore, the value for common factors is 1010.
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 = 6557759774600/(1x1010)
LCM = 6557759774600/1010
LCM = 6492831460
Thus, we can understand that the LCM of 305,404,101,790,667 is 6492831460.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 305, 404, 101, 790, 667
1. What is the LCM of 305, 404, 101, 790, 667?
Answer: LCM of 305, 404, 101, 790, 667 is 6492831460.
2. How to calculate the LCM of 305, 404, 101, 790, 667?
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 305, 404, 101, 790, 667.
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}.