LCM of 649, 704, 519, 407, 288
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 649, 704, 519, 407, 288 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 649, 704, 519, 407, 288. So, keep reading to learn more.
Given numbers are 649,704,519,407,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,704,519,407,288 is 2392847424.
Find LCM of 649,704,519,407,288 with Prime Factorization
| 2 | 649, 704, 519, 407, 288 |
| 2 | 649, 352, 519, 407, 144 |
| 2 | 649, 176, 519, 407, 72 |
| 2 | 649, 88, 519, 407, 36 |
| 2 | 649, 44, 519, 407, 18 |
| 3 | 649, 22, 519, 407, 9 |
| 11 | 649, 22, 173, 407, 3 |
| 59, 2, 173, 37, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 11 x 59 x 2 x 173 x 37 x 3 = 2392847424
Therefore, the lowest common multiple of 649,704,519,407,288 is 2392847424.
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.
649 x 704 x 519 x 407 x 288 = 27795315677184
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.
649 : 1, 11, 59, 649
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
519 : 1, 3, 173, 519
407 : 1, 11, 37, 407
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,704,519,407,288, is 1.
Now, the common factors can be found like this.
649:11x 59
704:2x 2x 2x 2x 2x 2x 11
519:3x 173
407:11x 37
288:2x 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 3x 11x 11 = 11616
Therefore, the value for common factors is 11616.
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 = 27795315677184/(1x11616)
LCM = 27795315677184/11616
LCM = 2392847424
Thus, we can understand that the LCM of 649,704,519,407,288 is 2392847424.
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FAQs on LCM of 649, 704, 519, 407, 288
1. What is the LCM of 649, 704, 519, 407, 288?
Answer: LCM of 649, 704, 519, 407, 288 is 2392847424.
2. How to calculate the LCM of 649, 704, 519, 407, 288?
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 649, 704, 519, 407, 288.
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}.