LCM of 288, 457, 646, 480, 112
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 288, 457, 646, 480, 112 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, 457, 646, 480, 112. So, keep reading to learn more.
Given numbers are 288,457,646,480,112
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 288,457,646,480,112 is 1487918880.
Find LCM of 288,457,646,480,112 with Prime Factorization
| 2 | 288, 457, 646, 480, 112 |
| 2 | 144, 457, 323, 240, 56 |
| 2 | 72, 457, 323, 120, 28 |
| 2 | 36, 457, 323, 60, 14 |
| 2 | 18, 457, 323, 30, 7 |
| 3 | 9, 457, 323, 15, 7 |
| 3, 457, 323, 5, 7 |
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 457 x 323 x 5 x 7 = 1487918880
Therefore, the lowest common multiple of 288,457,646,480,112 is 1487918880.
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 457 x 646 x 480 x 112 = 4570886799360
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
457 : 1, 457
646 : 1, 2, 17, 19, 34, 38, 323, 646
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,457,646,480,112, is 1.
Now, the common factors can be found like this.
288:2x 2x 2x 2x 2x 3x 3
457:457
646:2x 17x 19
480:2x 2x 2x 2x 2x 3x 5
112:2x 2x 2x 2x 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 2x 2x 2x 2x 2x 2x 2x 2x 3 = 3072
Therefore, the value for common factors is 3072.
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 = 4570886799360/(1x3072)
LCM = 4570886799360/3072
LCM = 1487918880
Thus, we can understand that the LCM of 288,457,646,480,112 is 1487918880.
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FAQs on LCM of 288, 457, 646, 480, 112
1. What is the LCM of 288, 457, 646, 480, 112?
Answer: LCM of 288, 457, 646, 480, 112 is 1487918880.
2. How to calculate the LCM of 288, 457, 646, 480, 112?
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, 457, 646, 480, 112.
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}.