LCM of 462, 295, 684, 808, 200
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 462, 295, 684, 808, 200 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 462, 295, 684, 808, 200. So, keep reading to learn more.
Given numbers are 462,295,684,808,200
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 462,295,684,808,200 is 15692430600.
Find LCM of 462,295,684,808,200 with Prime Factorization
| 2 | 462, 295, 684, 808, 200 |
| 2 | 231, 295, 342, 404, 100 |
| 2 | 231, 295, 171, 202, 50 |
| 3 | 231, 295, 171, 101, 25 |
| 5 | 77, 295, 57, 101, 25 |
| 77, 59, 57, 101, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 77 x 59 x 57 x 101 x 5 = 15692430600
Therefore, the lowest common multiple of 462,295,684,808,200 is 15692430600.
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.
462 x 295 x 684 x 808 x 200 = 15064733376000
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.
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
295 : 1, 5, 59, 295
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
808 : 1, 2, 4, 8, 101, 202, 404, 808
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,295,684,808,200, is 1.
Now, the common factors can be found like this.
462:2x 3x 7x 11
295:5x 59
684:2x 2x 3x 3x 19
808:2x 2x 2x 101
200:2x 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 2x 2x 2x 3x 5 = 960
Therefore, the value for common factors is 960.
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 = 15064733376000/(1x960)
LCM = 15064733376000/960
LCM = 15692430600
Thus, we can understand that the LCM of 462,295,684,808,200 is 15692430600.
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FAQs on LCM of 462, 295, 684, 808, 200
1. What is the LCM of 462, 295, 684, 808, 200?
Answer: LCM of 462, 295, 684, 808, 200 is 15692430600.
2. How to calculate the LCM of 462, 295, 684, 808, 200?
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 462, 295, 684, 808, 200.
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}.