LCM of 800, 260, 507, 928
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 800, 260, 507, 928 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 800, 260, 507, 928. So, keep reading to learn more.
Given numbers are 800,260,507,928
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 800,260,507,928 is 11762400.
Find LCM of 800,260,507,928 with Prime Factorization
| 2 | 800, 260, 507, 928 |
| 2 | 400, 130, 507, 464 |
| 2 | 200, 65, 507, 232 |
| 2 | 100, 65, 507, 116 |
| 2 | 50, 65, 507, 58 |
| 5 | 25, 65, 507, 29 |
| 13 | 5, 13, 507, 29 |
| 5, 1, 39, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 5 x 13 x 5 x 1 x 39 x 29 = 11762400
Therefore, the lowest common multiple of 800,260,507,928 is 11762400.
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.
800 x 260 x 507 x 928 = 97863168000
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.
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
507 : 1, 3, 13, 39, 169, 507
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 800,260,507,928, is 1.
Now, the common factors can be found like this.
800:2x 2x 2x 2x 2x 5x 5
260:2x 2x 5x 13
507:3x 13x 13
928:2x 2x 2x 2x 2x 29
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 2x 2x 5x 13 = 8320
Therefore, the value for common factors is 8320.
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 = 97863168000/(1x8320)
LCM = 97863168000/8320
LCM = 11762400
Thus, we can understand that the LCM of 800,260,507,928 is 11762400.
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FAQs on LCM of 800, 260, 507, 928
1. What is the LCM of 800, 260, 507, 928?
Answer: LCM of 800, 260, 507, 928 is 11762400.
2. How to calculate the LCM of 800, 260, 507, 928?
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 800, 260, 507, 928.
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}.