LCM of 647, 462, 626, 768, 609
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 647, 462, 626, 768, 609 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 647, 462, 626, 768, 609. So, keep reading to learn more.
Given numbers are 647,462,626,768,609
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 647,462,626,768,609 is 347295024384.
Find LCM of 647,462,626,768,609 with Prime Factorization
| 2 | 647, 462, 626, 768, 609 |
| 3 | 647, 231, 313, 384, 609 |
| 7 | 647, 77, 313, 128, 203 |
| 647, 11, 313, 128, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 647 x 11 x 313 x 128 x 29 = 347295024384
Therefore, the lowest common multiple of 647,462,626,768,609 is 347295024384.
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.
647 x 462 x 626 x 768 x 609 = 87518346144768
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.
647 : 1, 647
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
626 : 1, 2, 313, 626
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
609 : 1, 3, 7, 21, 29, 87, 203, 609
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 647,462,626,768,609, is 1.
Now, the common factors can be found like this.
647:647
462:2x 3x 7x 11
626:2x 313
768:2x 2x 2x 2x 2x 2x 2x 2x 3
609:3x 7x 29
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 3x 3x 7 = 252
Therefore, the value for common factors is 252.
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 = 87518346144768/(1x252)
LCM = 87518346144768/252
LCM = 347295024384
Thus, we can understand that the LCM of 647,462,626,768,609 is 347295024384.
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FAQs on LCM of 647, 462, 626, 768, 609
1. What is the LCM of 647, 462, 626, 768, 609?
Answer: LCM of 647, 462, 626, 768, 609 is 347295024384.
2. How to calculate the LCM of 647, 462, 626, 768, 609?
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 647, 462, 626, 768, 609.
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}.