LCM of 814, 565, 360, 904
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 565, 360, 904 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 814, 565, 360, 904. So, keep reading to learn more.
Given numbers are 814,565,360,904
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,565,360,904 is 16556760.
Find LCM of 814,565,360,904 with Prime Factorization
| 2 | 814, 565, 360, 904 |
| 2 | 407, 565, 180, 452 |
| 2 | 407, 565, 90, 226 |
| 5 | 407, 565, 45, 113 |
| 113 | 407, 113, 9, 113 |
| 407, 1, 9, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 113 x 407 x 1 x 9 x 1 = 16556760
Therefore, the lowest common multiple of 814,565,360,904 is 16556760.
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.
814 x 565 x 360 x 904 = 149673110400
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
565 : 1, 5, 113, 565
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
904 : 1, 2, 4, 8, 113, 226, 452, 904
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,565,360,904, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
565:5x 113
360:2x 2x 2x 3x 3x 5
904:2x 2x 2x 113
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 5x 113 = 9040
Therefore, the value for common factors is 9040.
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 = 149673110400/(1x9040)
LCM = 149673110400/9040
LCM = 16556760
Thus, we can understand that the LCM of 814,565,360,904 is 16556760.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 814, 565, 360, 904
1. What is the LCM of 814, 565, 360, 904?
Answer: LCM of 814, 565, 360, 904 is 16556760.
2. How to calculate the LCM of 814, 565, 360, 904?
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 814, 565, 360, 904.
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}.