LCM of 576, 682, 325, 442, 336
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 576, 682, 325, 442, 336 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 576, 682, 325, 442, 336. So, keep reading to learn more.
Given numbers are 576,682,325,442,336
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 576,682,325,442,336 is 7596388800.
Find LCM of 576,682,325,442,336 with Prime Factorization
| 2 | 576, 682, 325, 442, 336 |
| 2 | 288, 341, 325, 221, 168 |
| 2 | 144, 341, 325, 221, 84 |
| 2 | 72, 341, 325, 221, 42 |
| 3 | 36, 341, 325, 221, 21 |
| 13 | 12, 341, 325, 221, 7 |
| 12, 341, 25, 17, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 13 x 12 x 341 x 25 x 17 x 7 = 7596388800
Therefore, the lowest common multiple of 576,682,325,442,336 is 7596388800.
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.
576 x 682 x 325 x 442 x 336 = 18960586444800
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.
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
682 : 1, 2, 11, 22, 31, 62, 341, 682
325 : 1, 5, 13, 25, 65, 325
442 : 1, 2, 13, 17, 26, 34, 221, 442
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,682,325,442,336, is 1.
Now, the common factors can be found like this.
576:2x 2x 2x 2x 2x 2x 3x 3
682:2x 11x 31
325:5x 5x 13
442:2x 13x 17
336:2x 2x 2x 2x 3x 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 3x 13 = 2496
Therefore, the value for common factors is 2496.
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 = 18960586444800/(1x2496)
LCM = 18960586444800/2496
LCM = 7596388800
Thus, we can understand that the LCM of 576,682,325,442,336 is 7596388800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 576, 682, 325, 442, 336
1. What is the LCM of 576, 682, 325, 442, 336?
Answer: LCM of 576, 682, 325, 442, 336 is 7596388800.
2. How to calculate the LCM of 576, 682, 325, 442, 336?
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 576, 682, 325, 442, 336.
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}.