LCM of 405, 187, 735, 107, 457
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 187, 735, 107, 457 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, 187, 735, 107, 457. So, keep reading to learn more.
Given numbers are 405,187,735,107,457
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,187,735,107,457 is 181464922485.
Find LCM of 405,187,735,107,457 with Prime Factorization
| 3 | 405, 187, 735, 107, 457 |
| 5 | 135, 187, 245, 107, 457 |
| 27, 187, 49, 107, 457 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 27 x 187 x 49 x 107 x 457 = 181464922485
Therefore, the lowest common multiple of 405,187,735,107,457 is 181464922485.
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 187 x 735 x 107 x 457 = 2721973837275
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
187 : 1, 11, 17, 187
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
107 : 1, 107
457 : 1, 457
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,187,735,107,457, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
187:11x 17
735:3x 5x 7x 7
107:107
457:457
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5 = 15
Therefore, the value for common factors is 15.
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 = 2721973837275/(1x15)
LCM = 2721973837275/15
LCM = 181464922485
Thus, we can understand that the LCM of 405,187,735,107,457 is 181464922485.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 405, 187, 735, 107, 457
1. What is the LCM of 405, 187, 735, 107, 457?
Answer: LCM of 405, 187, 735, 107, 457 is 181464922485.
2. How to calculate the LCM of 405, 187, 735, 107, 457?
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, 187, 735, 107, 457.
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}.