LCM of 858, 126, 405, 152, 819
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 858, 126, 405, 152, 819 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 858, 126, 405, 152, 819. So, keep reading to learn more.
Given numbers are 858,126,405,152,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,126,405,152,819 is 61621560.
Find LCM of 858,126,405,152,819 with Prime Factorization
| 2 | 858, 126, 405, 152, 819 |
| 3 | 429, 63, 405, 76, 819 |
| 3 | 143, 21, 135, 76, 273 |
| 7 | 143, 7, 45, 76, 91 |
| 13 | 143, 1, 45, 76, 13 |
| 11, 1, 45, 76, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 13 x 11 x 1 x 45 x 76 x 1 = 61621560
Therefore, the lowest common multiple of 858,126,405,152,819 is 61621560.
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.
858 x 126 x 405 x 152 x 819 = 5450550225120
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.
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
152 : 1, 2, 4, 8, 19, 38, 76, 152
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,126,405,152,819, is 1.
Now, the common factors can be found like this.
858:2x 3x 11x 13
126:2x 3x 3x 7
405:3x 3x 3x 3x 5
152:2x 2x 2x 19
819:3x 3x 7x 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 3x 7x 13 = 88452
Therefore, the value for common factors is 88452.
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 = 5450550225120/(1x88452)
LCM = 5450550225120/88452
LCM = 61621560
Thus, we can understand that the LCM of 858,126,405,152,819 is 61621560.
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FAQs on LCM of 858, 126, 405, 152, 819
1. What is the LCM of 858, 126, 405, 152, 819?
Answer: LCM of 858, 126, 405, 152, 819 is 61621560.
2. How to calculate the LCM of 858, 126, 405, 152, 819?
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 858, 126, 405, 152, 819.
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}.