LCM of 318, 864, 473, 288
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 318, 864, 473, 288 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 318, 864, 473, 288. So, keep reading to learn more.
Given numbers are 318,864,473,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 318,864,473,288 is 21659616.
Find LCM of 318,864,473,288 with Prime Factorization
| 2 | 318, 864, 473, 288 |
| 2 | 159, 432, 473, 144 |
| 2 | 159, 216, 473, 72 |
| 2 | 159, 108, 473, 36 |
| 2 | 159, 54, 473, 18 |
| 3 | 159, 27, 473, 9 |
| 3 | 53, 3, 473, 9 |
| 53, 1, 473, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 3 x 53 x 1 x 473 x 3 = 21659616
Therefore, the lowest common multiple of 318,864,473,288 is 21659616.
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.
318 x 864 x 473 x 288 = 37427816448
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.
318 : 1, 2, 3, 6, 53, 106, 159, 318
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
473 : 1, 11, 43, 473
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,864,473,288, is 1.
Now, the common factors can be found like this.
318:2x 3x 53
864:2x 2x 2x 2x 2x 3x 3x 3
473:11x 43
288:2x 2x 2x 2x 2x 3x 3
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 2x 2x 3x 3x 3 = 1728
Therefore, the value for common factors is 1728.
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 = 37427816448/(1x1728)
LCM = 37427816448/1728
LCM = 21659616
Thus, we can understand that the LCM of 318,864,473,288 is 21659616.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 318, 864, 473, 288
1. What is the LCM of 318, 864, 473, 288?
Answer: LCM of 318, 864, 473, 288 is 21659616.
2. How to calculate the LCM of 318, 864, 473, 288?
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 318, 864, 473, 288.
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}.