LCM of 243, 414, 993, 900, 923
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 243, 414, 993, 900, 923 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 243, 414, 993, 900, 923. So, keep reading to learn more.
Given numbers are 243,414,993,900,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 243,414,993,900,923 is 170751215700.
Find LCM of 243,414,993,900,923 with Prime Factorization
| 2 | 243, 414, 993, 900, 923 |
| 3 | 243, 207, 993, 450, 923 |
| 3 | 81, 69, 331, 150, 923 |
| 27, 23, 331, 50, 923 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 27 x 23 x 331 x 50 x 923 = 170751215700
Therefore, the lowest common multiple of 243,414,993,900,923 is 170751215700.
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.
243 x 414 x 993 x 900 x 923 = 82985090830200
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.
243 : 1, 3, 9, 27, 81, 243
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
993 : 1, 3, 331, 993
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 243,414,993,900,923, is 1.
Now, the common factors can be found like this.
243:3x 3x 3x 3x 3
414:2x 3x 3x 23
993:3x 331
900:2x 2x 3x 3x 5x 5
923:13x 71
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 3x 3 = 486
Therefore, the value for common factors is 486.
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 = 82985090830200/(1x486)
LCM = 82985090830200/486
LCM = 170751215700
Thus, we can understand that the LCM of 243,414,993,900,923 is 170751215700.
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FAQs on LCM of 243, 414, 993, 900, 923
1. What is the LCM of 243, 414, 993, 900, 923?
Answer: LCM of 243, 414, 993, 900, 923 is 170751215700.
2. How to calculate the LCM of 243, 414, 993, 900, 923?
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 243, 414, 993, 900, 923.
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}.