LCM of 428, 765, 856, 404, 909
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 428, 765, 856, 404, 909 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 428, 765, 856, 404, 909. So, keep reading to learn more.
Given numbers are 428,765,856,404,909
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 428,765,856,404,909 is 66138840.
Find LCM of 428,765,856,404,909 with Prime Factorization
| 2 | 428, 765, 856, 404, 909 |
| 2 | 214, 765, 428, 202, 909 |
| 3 | 107, 765, 214, 101, 909 |
| 3 | 107, 255, 214, 101, 303 |
| 101 | 107, 85, 214, 101, 101 |
| 107 | 107, 85, 214, 1, 1 |
| 1, 85, 2, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 101 x 107 x 1 x 85 x 2 x 1 x 1 = 66138840
Therefore, the lowest common multiple of 428,765,856,404,909 is 66138840.
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.
428 x 765 x 856 x 404 x 909 = 102925791918720
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.
428 : 1, 2, 4, 107, 214, 428
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
856 : 1, 2, 4, 8, 107, 214, 428, 856
404 : 1, 2, 4, 101, 202, 404
909 : 1, 3, 9, 101, 303, 909
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,765,856,404,909, is 1.
Now, the common factors can be found like this.
428:2x 2x 107
765:3x 3x 5x 17
856:2x 2x 2x 107
404:2x 2x 101
909:3x 3x 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 2x 3x 3x 101x 107 = 1556208
Therefore, the value for common factors is 1556208.
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 = 102925791918720/(1x1556208)
LCM = 102925791918720/1556208
LCM = 66138840
Thus, we can understand that the LCM of 428,765,856,404,909 is 66138840.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 428, 765, 856, 404, 909
1. What is the LCM of 428, 765, 856, 404, 909?
Answer: LCM of 428, 765, 856, 404, 909 is 66138840.
2. How to calculate the LCM of 428, 765, 856, 404, 909?
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 428, 765, 856, 404, 909.
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}.