LCM of 638, 456, 647, 704
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 638, 456, 647, 704 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 638, 456, 647, 704. So, keep reading to learn more.
Given numbers are 638,456,647,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 638,456,647,704 is 752921664.
Find LCM of 638,456,647,704 with Prime Factorization
| 2 | 638, 456, 647, 704 |
| 2 | 319, 228, 647, 352 |
| 2 | 319, 114, 647, 176 |
| 11 | 319, 57, 647, 88 |
| 29, 57, 647, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 29 x 57 x 647 x 8 = 752921664
Therefore, the lowest common multiple of 638,456,647,704 is 752921664.
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.
638 x 456 x 647 x 704 = 132514212864
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.
638 : 1, 2, 11, 22, 29, 58, 319, 638
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
647 : 1, 647
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,456,647,704, is 1.
Now, the common factors can be found like this.
638:2x 11x 29
456:2x 2x 2x 3x 19
647:647
704:2x 2x 2x 2x 2x 2x 11
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 11 = 176
Therefore, the value for common factors is 176.
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 = 132514212864/(1x176)
LCM = 132514212864/176
LCM = 752921664
Thus, we can understand that the LCM of 638,456,647,704 is 752921664.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 638, 456, 647, 704
1. What is the LCM of 638, 456, 647, 704?
Answer: LCM of 638, 456, 647, 704 is 752921664.
2. How to calculate the LCM of 638, 456, 647, 704?
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 638, 456, 647, 704.
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}.