Find the LCM of 288, 482, 428, 315, 736 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 288, 482, 428, 315, 736. So, keep reading to learn more.
Given numbers are 288,482,428,315,736
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 288,482,428,315,736 is 5978458080.
Find LCM of 288,482,428,315,736 with Prime Factorization
2 | 288, 482, 428, 315, 736 |
2 | 144, 241, 214, 315, 368 |
2 | 72, 241, 107, 315, 184 |
2 | 36, 241, 107, 315, 92 |
2 | 18, 241, 107, 315, 46 |
3 | 9, 241, 107, 315, 23 |
3 | 3, 241, 107, 105, 23 |
1, 241, 107, 35, 23 |
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 1 x 241 x 107 x 35 x 23 = 5978458080
Therefore, the lowest common multiple of 288,482,428,315,736 is 5978458080.
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.
288 x 482 x 428 x 315 x 736 = 13774367416320
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.
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
482 : 1, 2, 241, 482
428 : 1, 2, 4, 107, 214, 428
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,482,428,315,736, is 1.
Now, the common factors can be found like this.
288:2x 2x 2x 2x 2x 3x 3
482:2x 241
428:2x 2x 107
315:3x 3x 5x 7
736:2x 2x 2x 2x 2x 23
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 2x 2x 3x 3 = 2304
Therefore, the value for common factors is 2304.
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 = 13774367416320/(1x2304)
LCM = 13774367416320/2304
LCM = 5978458080
Thus, we can understand that the LCM of 288,482,428,315,736 is 5978458080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 288, 482, 428, 315, 736?
Answer: LCM of 288, 482, 428, 315, 736 is 5978458080.
2. How to calculate the LCM of 288, 482, 428, 315, 736?
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 288, 482, 428, 315, 736.
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}.