LCM of 405, 102, 782, 363, 186
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 102, 782, 363, 186 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 405, 102, 782, 363, 186. So, keep reading to learn more.
Given numbers are 405,102,782,363,186
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,102,782,363,186 is 1187979210.
Find LCM of 405,102,782,363,186 with Prime Factorization
| 2 | 405, 102, 782, 363, 186 |
| 3 | 405, 51, 391, 363, 93 |
| 17 | 135, 17, 391, 121, 31 |
| 135, 1, 23, 121, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 135 x 1 x 23 x 121 x 31 = 1187979210
Therefore, the lowest common multiple of 405,102,782,363,186 is 1187979210.
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.
405 x 102 x 782 x 363 x 186 = 2181129829560
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.
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
102 : 1, 2, 3, 6, 17, 34, 51, 102
782 : 1, 2, 17, 23, 34, 46, 391, 782
363 : 1, 3, 11, 33, 121, 363
186 : 1, 2, 3, 6, 31, 62, 93, 186
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,102,782,363,186, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
102:2x 3x 17
782:2x 17x 23
363:3x 11x 11
186:2x 3x 31
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 17 = 1836
Therefore, the value for common factors is 1836.
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 = 2181129829560/(1x1836)
LCM = 2181129829560/1836
LCM = 1187979210
Thus, we can understand that the LCM of 405,102,782,363,186 is 1187979210.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 405, 102, 782, 363, 186
1. What is the LCM of 405, 102, 782, 363, 186?
Answer: LCM of 405, 102, 782, 363, 186 is 1187979210.
2. How to calculate the LCM of 405, 102, 782, 363, 186?
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 405, 102, 782, 363, 186.
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}.