LCM of 451, 440, 435, 623, 800
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 451, 440, 435, 623, 800 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 451, 440, 435, 623, 800. So, keep reading to learn more.
Given numbers are 451,440,435,623,800
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 451,440,435,623,800 is 19555720800.
Find LCM of 451,440,435,623,800 with Prime Factorization
| 2 | 451, 440, 435, 623, 800 |
| 2 | 451, 220, 435, 623, 400 |
| 2 | 451, 110, 435, 623, 200 |
| 5 | 451, 55, 435, 623, 100 |
| 11 | 451, 11, 87, 623, 20 |
| 41, 1, 87, 623, 20 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 11 x 41 x 1 x 87 x 623 x 20 = 19555720800
Therefore, the lowest common multiple of 451,440,435,623,800 is 19555720800.
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.
451 x 440 x 435 x 623 x 800 = 43022585760000
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.
451 : 1, 11, 41, 451
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
435 : 1, 3, 5, 15, 29, 87, 145, 435
623 : 1, 7, 89, 623
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 451,440,435,623,800, is 1.
Now, the common factors can be found like this.
451:11x 41
440:2x 2x 2x 5x 11
435:3x 5x 29
623:7x 89
800:2x 2x 2x 2x 2x 5x 5
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 5x 5x 11 = 2200
Therefore, the value for common factors is 2200.
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 = 43022585760000/(1x2200)
LCM = 43022585760000/2200
LCM = 19555720800
Thus, we can understand that the LCM of 451,440,435,623,800 is 19555720800.
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FAQs on LCM of 451, 440, 435, 623, 800
1. What is the LCM of 451, 440, 435, 623, 800?
Answer: LCM of 451, 440, 435, 623, 800 is 19555720800.
2. How to calculate the LCM of 451, 440, 435, 623, 800?
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 451, 440, 435, 623, 800.
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}.