LCM of 800, 262, 462, 920
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 800, 262, 462, 920 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, 262, 462, 920. So, keep reading to learn more.
Given numbers are 800,262,462,920
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 800,262,462,920 is 556802400.
Find LCM of 800,262,462,920 with Prime Factorization
| 2 | 800, 262, 462, 920 |
| 2 | 400, 131, 231, 460 |
| 2 | 200, 131, 231, 230 |
| 5 | 100, 131, 231, 115 |
| 20, 131, 231, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 20 x 131 x 231 x 23 = 556802400
Therefore, the lowest common multiple of 800,262,462,920 is 556802400.
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 262 x 462 x 920 = 89088384000
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
262 : 1, 2, 131, 262
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 800,262,462,920, is 2.
Now, the common factors can be found like this.
800:2x 2x 2x 2x 2x 5x 5
262:2x 131
462:2x 3x 7x 11
920:2x 2x 2x 5x 23
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 5 = 80
Therefore, the value for common factors is 80.
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 = 89088384000/(2x80)
LCM = 89088384000/160
LCM = 556802400
Thus, we can understand that the LCM of 800,262,462,920 is 556802400.
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FAQs on LCM of 800, 262, 462, 920
1. What is the LCM of 800, 262, 462, 920?
Answer: LCM of 800, 262, 462, 920 is 556802400.
2. How to calculate the LCM of 800, 262, 462, 920?
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, 262, 462, 920.
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}.