LCM of 906, 612, 504
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 612, 504 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 906, 612, 504. So, keep reading to learn more.
Given numbers are 906,612,504
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,612,504 is 1293768.
Find LCM of 906,612,504 with Prime Factorization
| 2 | 906, 612, 504 |
| 2 | 453, 306, 252 |
| 3 | 453, 153, 126 |
| 3 | 151, 51, 42 |
| 151, 17, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 151 x 17 x 14 = 1293768
Therefore, the lowest common multiple of 906,612,504 is 1293768.
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.
906 x 612 x 504 = 279453888
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,612,504, is 6.
Now, the common factors can be found like this.
906:2x 3x 151
612:2x 2x 3x 3x 17
504:2x 2x 2x 3x 3x 7
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 3 = 36
Therefore, the value for common factors is 36.
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 = 279453888/(6x36)
LCM = 279453888/216
LCM = 1293768
Thus, we can understand that the LCM of 906,612,504 is 1293768.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 906, 612, 504
1. What is the LCM of 906, 612, 504?
Answer: LCM of 906, 612, 504 is 1293768.
2. How to calculate the LCM of 906, 612, 504?
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 906, 612, 504.
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}.