LCM of 656, 412, 246, 545, 576
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 656, 412, 246, 545, 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 656, 412, 246, 545, 576. So, keep reading to learn more.
Given numbers are 656,412,246,545,576
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 656,412,246,545,576 is 1325684160.
Find LCM of 656,412,246,545,576 with Prime Factorization
| 2 | 656, 412, 246, 545, 576 |
| 2 | 328, 206, 123, 545, 288 |
| 2 | 164, 103, 123, 545, 144 |
| 2 | 82, 103, 123, 545, 72 |
| 3 | 41, 103, 123, 545, 36 |
| 41 | 41, 103, 41, 545, 12 |
| 1, 103, 1, 545, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 41 x 1 x 103 x 1 x 545 x 12 = 1325684160
Therefore, the lowest common multiple of 656,412,246,545,576 is 1325684160.
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.
656 x 412 x 246 x 545 x 576 = 20871571415040
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.
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
412 : 1, 2, 4, 103, 206, 412
246 : 1, 2, 3, 6, 41, 82, 123, 246
545 : 1, 5, 109, 545
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 656,412,246,545,576, is 1.
Now, the common factors can be found like this.
656:2x 2x 2x 2x 41
412:2x 2x 103
246:2x 3x 41
545:5x 109
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 2x 3x 41 = 15744
Therefore, the value for common factors is 15744.
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 = 20871571415040/(1x15744)
LCM = 20871571415040/15744
LCM = 1325684160
Thus, we can understand that the LCM of 656,412,246,545,576 is 1325684160.
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FAQs on LCM of 656, 412, 246, 545, 576
1. What is the LCM of 656, 412, 246, 545, 576?
Answer: LCM of 656, 412, 246, 545, 576 is 1325684160.
2. How to calculate the LCM of 656, 412, 246, 545, 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 656, 412, 246, 545, 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}.