LCM of 105, 309, 462, 923, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 105, 309, 462, 923, 309 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 105, 309, 462, 923, 309. So, keep reading to learn more.
Given numbers are 105,309,462,923,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,309,462,923,309 is 219609390.
Find LCM of 105,309,462,923,309 with Prime Factorization
| 3 | 105, 309, 462, 923, 309 |
| 7 | 35, 103, 154, 923, 103 |
| 103 | 5, 103, 22, 923, 103 |
| 5, 1, 22, 923, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 103 x 5 x 1 x 22 x 923 x 1 = 219609390
Therefore, the lowest common multiple of 105,309,462,923,309 is 219609390.
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.
105 x 309 x 462 x 923 x 309 = 4275135995130
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
309 : 1, 3, 103, 309
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
923 : 1, 13, 71, 923
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,309,462,923,309, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
309:3x 103
462:2x 3x 7x 11
923:13x 71
309:3x 103
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 7x 103 = 19467
Therefore, the value for common factors is 19467.
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 = 4275135995130/(1x19467)
LCM = 4275135995130/19467
LCM = 219609390
Thus, we can understand that the LCM of 105,309,462,923,309 is 219609390.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 105, 309, 462, 923, 309
1. What is the LCM of 105, 309, 462, 923, 309?
Answer: LCM of 105, 309, 462, 923, 309 is 219609390.
2. How to calculate the LCM of 105, 309, 462, 923, 309?
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 105, 309, 462, 923, 309.
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}.