LCM of 187, 531, 405, 945
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 531, 405, 945 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 187, 531, 405, 945. So, keep reading to learn more.
Given numbers are 187,531,405,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,531,405,945 is 31278555.
Find LCM of 187,531,405,945 with Prime Factorization
| 3 | 187, 531, 405, 945 |
| 3 | 187, 177, 135, 315 |
| 3 | 187, 59, 45, 105 |
| 5 | 187, 59, 15, 35 |
| 187, 59, 3, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 5 x 187 x 59 x 3 x 7 = 31278555
Therefore, the lowest common multiple of 187,531,405,945 is 31278555.
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.
187 x 531 x 405 x 945 = 38003444325
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.
187 : 1, 11, 17, 187
531 : 1, 3, 9, 59, 177, 531
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,531,405,945, is 1.
Now, the common factors can be found like this.
187:11x 17
531:3x 3x 59
405:3x 3x 3x 3x 5
945:3x 3x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 3x 5 = 1215
Therefore, the value for common factors is 1215.
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 = 38003444325/(1x1215)
LCM = 38003444325/1215
LCM = 31278555
Thus, we can understand that the LCM of 187,531,405,945 is 31278555.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 187, 531, 405, 945
1. What is the LCM of 187, 531, 405, 945?
Answer: LCM of 187, 531, 405, 945 is 31278555.
2. How to calculate the LCM of 187, 531, 405, 945?
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 187, 531, 405, 945.
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}.