LCM of 414, 654, 143, 888, 585
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 414, 654, 143, 888, 585 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 414, 654, 143, 888, 585. So, keep reading to learn more.
Given numbers are 414,654,143,888,585
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 414,654,143,888,585 is 4775233320.
Find LCM of 414,654,143,888,585 with Prime Factorization
| 2 | 414, 654, 143, 888, 585 |
| 3 | 207, 327, 143, 444, 585 |
| 3 | 69, 109, 143, 148, 195 |
| 13 | 23, 109, 143, 148, 65 |
| 23, 109, 11, 148, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 23 x 109 x 11 x 148 x 5 = 4775233320
Therefore, the lowest common multiple of 414,654,143,888,585 is 4775233320.
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.
414 x 654 x 143 x 888 x 585 = 20113282743840
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.
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
654 : 1, 2, 3, 6, 109, 218, 327, 654
143 : 1, 11, 13, 143
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,654,143,888,585, is 1.
Now, the common factors can be found like this.
414:2x 3x 3x 23
654:2x 3x 109
143:11x 13
888:2x 2x 2x 3x 37
585:3x 3x 5x 13
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 3x 3x 3x 3x 13 = 4212
Therefore, the value for common factors is 4212.
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 = 20113282743840/(1x4212)
LCM = 20113282743840/4212
LCM = 4775233320
Thus, we can understand that the LCM of 414,654,143,888,585 is 4775233320.
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FAQs on LCM of 414, 654, 143, 888, 585
1. What is the LCM of 414, 654, 143, 888, 585?
Answer: LCM of 414, 654, 143, 888, 585 is 4775233320.
2. How to calculate the LCM of 414, 654, 143, 888, 585?
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 414, 654, 143, 888, 585.
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}.