LCM of 462, 288, 168, 923
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 462, 288, 168, 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 462, 288, 168, 923. So, keep reading to learn more.
Given numbers are 462,288,168,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 462,288,168,923 is 20468448.
Find LCM of 462,288,168,923 with Prime Factorization
| 2 | 462, 288, 168, 923 |
| 2 | 231, 144, 84, 923 |
| 2 | 231, 72, 42, 923 |
| 3 | 231, 36, 21, 923 |
| 7 | 77, 12, 7, 923 |
| 11, 12, 1, 923 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 11 x 12 x 1 x 923 = 20468448
Therefore, the lowest common multiple of 462,288,168,923 is 20468448.
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.
462 x 288 x 168 x 923 = 20632195584
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.
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,288,168,923, is 1.
Now, the common factors can be found like this.
462:2x 3x 7x 11
288:2x 2x 2x 2x 2x 3x 3
168:2x 2x 2x 3x 7
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 2x 2x 2x 3x 3x 7 = 1008
Therefore, the value for common factors is 1008.
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 = 20632195584/(1x1008)
LCM = 20632195584/1008
LCM = 20468448
Thus, we can understand that the LCM of 462,288,168,923 is 20468448.
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FAQs on LCM of 462, 288, 168, 923
1. What is the LCM of 462, 288, 168, 923?
Answer: LCM of 462, 288, 168, 923 is 20468448.
2. How to calculate the LCM of 462, 288, 168, 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 462, 288, 168, 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}.