LCM of 288, 112, 417, 640
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 288, 112, 417, 640 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, 112, 417, 640. So, keep reading to learn more.
Given numbers are 288,112,417,640
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 288,112,417,640 is 5604480.
Find LCM of 288,112,417,640 with Prime Factorization
| 2 | 288, 112, 417, 640 |
| 2 | 144, 56, 417, 320 |
| 2 | 72, 28, 417, 160 |
| 2 | 36, 14, 417, 80 |
| 2 | 18, 7, 417, 40 |
| 3 | 9, 7, 417, 20 |
| 3, 7, 139, 20 |
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 7 x 139 x 20 = 5604480
Therefore, the lowest common multiple of 288,112,417,640 is 5604480.
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 112 x 417 x 640 = 8608481280
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
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
417 : 1, 3, 139, 417
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,112,417,640, is 1.
Now, the common factors can be found like this.
288:2x 2x 2x 2x 2x 3x 3
112:2x 2x 2x 2x 7
417:3x 139
640:2x 2x 2x 2x 2x 2x 2x 5
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 2x 3 = 1536
Therefore, the value for common factors is 1536.
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 = 8608481280/(1x1536)
LCM = 8608481280/1536
LCM = 5604480
Thus, we can understand that the LCM of 288,112,417,640 is 5604480.
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FAQs on LCM of 288, 112, 417, 640
1. What is the LCM of 288, 112, 417, 640?
Answer: LCM of 288, 112, 417, 640 is 5604480.
2. How to calculate the LCM of 288, 112, 417, 640?
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, 112, 417, 640.
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}.