LCM of 338, 648, 286, 396, 576
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 338, 648, 286, 396, 576 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 338, 648, 286, 396, 576. So, keep reading to learn more.
Given numbers are 338,648,286,396,576
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 338,648,286,396,576 is 9637056.
Find LCM of 338,648,286,396,576 with Prime Factorization
| 2 | 338, 648, 286, 396, 576 |
| 2 | 169, 324, 143, 198, 288 |
| 2 | 169, 162, 143, 99, 144 |
| 3 | 169, 81, 143, 99, 72 |
| 3 | 169, 27, 143, 33, 24 |
| 11 | 169, 9, 143, 11, 8 |
| 13 | 169, 9, 13, 1, 8 |
| 1, 9, 13, 1, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 11 x 13 x 1 x 9 x 13 x 1 x 8 = 9637056
Therefore, the lowest common multiple of 338,648,286,396,576 is 9637056.
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.
338 x 648 x 286 x 396 x 576 = 14288130514944
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.
338 : 1, 2, 13, 26, 169, 338
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
286 : 1, 2, 11, 13, 22, 26, 143, 286
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,648,286,396,576, is 2.
Now, the common factors can be found like this.
338:2x 13x 13
648:2x 2x 2x 3x 3x 3x 3
286:2x 11x 13
396:2x 2x 3x 3x 11
576:2x 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 3x 3x 11x 13 = 741312
Therefore, the value for common factors is 741312.
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 = 14288130514944/(2x741312)
LCM = 14288130514944/1482624
LCM = 9637056
Thus, we can understand that the LCM of 338,648,286,396,576 is 9637056.
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FAQs on LCM of 338, 648, 286, 396, 576
1. What is the LCM of 338, 648, 286, 396, 576?
Answer: LCM of 338, 648, 286, 396, 576 is 9637056.
2. How to calculate the LCM of 338, 648, 286, 396, 576?
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 338, 648, 286, 396, 576.
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}.