LCM of 206, 369, 390, 309, 912
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 206, 369, 390, 309, 912 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 206, 369, 390, 309, 912. So, keep reading to learn more.
Given numbers are 206,369,390,309,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 206,369,390,309,912 is 751018320.
Find LCM of 206,369,390,309,912 with Prime Factorization
| 2 | 206, 369, 390, 309, 912 |
| 3 | 103, 369, 195, 309, 456 |
| 103 | 103, 123, 65, 103, 152 |
| 1, 123, 65, 1, 152 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 103 x 1 x 123 x 65 x 1 x 152 = 751018320
Therefore, the lowest common multiple of 206,369,390,309,912 is 751018320.
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.
206 x 369 x 390 x 309 x 912 = 8354327791680
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.
206 : 1, 2, 103, 206
369 : 1, 3, 9, 41, 123, 369
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
309 : 1, 3, 103, 309
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,369,390,309,912, is 1.
Now, the common factors can be found like this.
206:2x 103
369:3x 3x 41
390:2x 3x 5x 13
309:3x 103
912:2x 2x 2x 2x 3x 19
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 103 = 11124
Therefore, the value for common factors is 11124.
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 = 8354327791680/(1x11124)
LCM = 8354327791680/11124
LCM = 751018320
Thus, we can understand that the LCM of 206,369,390,309,912 is 751018320.
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FAQs on LCM of 206, 369, 390, 309, 912
1. What is the LCM of 206, 369, 390, 309, 912?
Answer: LCM of 206, 369, 390, 309, 912 is 751018320.
2. How to calculate the LCM of 206, 369, 390, 309, 912?
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 206, 369, 390, 309, 912.
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}.