LCM of 923, 873, 390, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 923, 873, 390, 414 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 923, 873, 390, 414. So, keep reading to learn more.
Given numbers are 923,873,390,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 923,873,390,414 is 185329170.
Find LCM of 923,873,390,414 with Prime Factorization
| 2 | 923, 873, 390, 414 |
| 3 | 923, 873, 195, 207 |
| 3 | 923, 291, 65, 69 |
| 13 | 923, 97, 65, 23 |
| 71, 97, 5, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 71 x 97 x 5 x 23 = 185329170
Therefore, the lowest common multiple of 923,873,390,414 is 185329170.
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.
923 x 873 x 390 x 414 = 130101077340
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.
923 : 1, 13, 71, 923
873 : 1, 3, 9, 97, 291, 873
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,873,390,414, is 1.
Now, the common factors can be found like this.
923:13x 71
873:3x 3x 97
390:2x 3x 5x 13
414:2x 3x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 13 = 702
Therefore, the value for common factors is 702.
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 = 130101077340/(1x702)
LCM = 130101077340/702
LCM = 185329170
Thus, we can understand that the LCM of 923,873,390,414 is 185329170.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 923, 873, 390, 414
1. What is the LCM of 923, 873, 390, 414?
Answer: LCM of 923, 873, 390, 414 is 185329170.
2. How to calculate the LCM of 923, 873, 390, 414?
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 923, 873, 390, 414.
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}.