LCM of 143, 200, 414, 816, 149
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 143, 200, 414, 816, 149 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 143, 200, 414, 816, 149. So, keep reading to learn more.
Given numbers are 143,200,414,816,149
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 143,200,414,816,149 is 29991733200.
Find LCM of 143,200,414,816,149 with Prime Factorization
| 2 | 143, 200, 414, 816, 149 |
| 2 | 143, 100, 207, 408, 149 |
| 2 | 143, 50, 207, 204, 149 |
| 3 | 143, 25, 207, 102, 149 |
| 143, 25, 69, 34, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 143 x 25 x 69 x 34 x 149 = 29991733200
Therefore, the lowest common multiple of 143,200,414,816,149 is 29991733200.
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.
143 x 200 x 414 x 816 x 149 = 1439603193600
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.
143 : 1, 11, 13, 143
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
149 : 1, 149
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 143,200,414,816,149, is 1.
Now, the common factors can be found like this.
143:11x 13
200:2x 2x 2x 5x 5
414:2x 3x 3x 23
816:2x 2x 2x 2x 3x 17
149:149
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 3 = 48
Therefore, the value for common factors is 48.
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 = 1439603193600/(1x48)
LCM = 1439603193600/48
LCM = 29991733200
Thus, we can understand that the LCM of 143,200,414,816,149 is 29991733200.
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FAQs on LCM of 143, 200, 414, 816, 149
1. What is the LCM of 143, 200, 414, 816, 149?
Answer: LCM of 143, 200, 414, 816, 149 is 29991733200.
2. How to calculate the LCM of 143, 200, 414, 816, 149?
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 143, 200, 414, 816, 149.
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}.