LCM of 647, 308, 368, 828, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 647, 308, 368, 828, 990 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, 308, 368, 828, 990. So, keep reading to learn more.
Given numbers are 647,308,368,828,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 647,308,368,828,990 is 825002640.
Find LCM of 647,308,368,828,990 with Prime Factorization
| 2 | 647, 308, 368, 828, 990 |
| 2 | 647, 154, 184, 414, 495 |
| 3 | 647, 77, 92, 207, 495 |
| 3 | 647, 77, 92, 69, 165 |
| 11 | 647, 77, 92, 23, 55 |
| 23 | 647, 7, 92, 23, 5 |
| 647, 7, 4, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 23 x 647 x 7 x 4 x 1 x 5 = 825002640
Therefore, the lowest common multiple of 647,308,368,828,990 is 825002640.
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 308 x 368 x 828 x 990 = 60112992360960
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
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 647,308,368,828,990, is 1.
Now, the common factors can be found like this.
647:647
308:2x 2x 7x 11
368:2x 2x 2x 2x 23
828:2x 2x 3x 3x 23
990:2x 3x 3x 5x 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 2x 3x 3x 11x 23 = 72864
Therefore, the value for common factors is 72864.
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 = 60112992360960/(1x72864)
LCM = 60112992360960/72864
LCM = 825002640
Thus, we can understand that the LCM of 647,308,368,828,990 is 825002640.
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FAQs on LCM of 647, 308, 368, 828, 990
1. What is the LCM of 647, 308, 368, 828, 990?
Answer: LCM of 647, 308, 368, 828, 990 is 825002640.
2. How to calculate the LCM of 647, 308, 368, 828, 990?
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, 308, 368, 828, 990.
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}.