LCM of 649, 800, 407, 232, 851
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 649, 800, 407, 232, 851 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, 800, 407, 232, 851. So, keep reading to learn more.
Given numbers are 649,800,407,232,851
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,800,407,232,851 is 12813336800.
Find LCM of 649,800,407,232,851 with Prime Factorization
| 2 | 649, 800, 407, 232, 851 |
| 2 | 649, 400, 407, 116, 851 |
| 2 | 649, 200, 407, 58, 851 |
| 11 | 649, 100, 407, 29, 851 |
| 37 | 59, 100, 37, 29, 851 |
| 59, 100, 1, 29, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 37 x 59 x 100 x 1 x 29 x 23 = 12813336800
Therefore, the lowest common multiple of 649,800,407,232,851 is 12813336800.
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 800 x 407 x 232 x 851 = 41720224620800
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
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
407 : 1, 11, 37, 407
232 : 1, 2, 4, 8, 29, 58, 116, 232
851 : 1, 23, 37, 851
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,800,407,232,851, is 1.
Now, the common factors can be found like this.
649:11x 59
800:2x 2x 2x 2x 2x 5x 5
407:11x 37
232:2x 2x 2x 29
851:23x 37
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 11x 37 = 3256
Therefore, the value for common factors is 3256.
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 = 41720224620800/(1x3256)
LCM = 41720224620800/3256
LCM = 12813336800
Thus, we can understand that the LCM of 649,800,407,232,851 is 12813336800.
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FAQs on LCM of 649, 800, 407, 232, 851
1. What is the LCM of 649, 800, 407, 232, 851?
Answer: LCM of 649, 800, 407, 232, 851 is 12813336800.
2. How to calculate the LCM of 649, 800, 407, 232, 851?
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, 800, 407, 232, 851.
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}.