LCM of 642, 489, 288, 756, 923
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 642, 489, 288, 756, 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 642, 489, 288, 756, 923. So, keep reading to learn more.
Given numbers are 642,489,288,756,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,489,288,756,923 is 97360964064.
Find LCM of 642,489,288,756,923 with Prime Factorization
| 2 | 642, 489, 288, 756, 923 |
| 2 | 321, 489, 144, 378, 923 |
| 3 | 321, 489, 72, 189, 923 |
| 3 | 107, 163, 24, 63, 923 |
| 107, 163, 8, 21, 923 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 107 x 163 x 8 x 21 x 923 = 97360964064
Therefore, the lowest common multiple of 642,489,288,756,923 is 97360964064.
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.
642 x 489 x 288 x 756 x 923 = 63089904713472
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.
642 : 1, 2, 3, 6, 107, 214, 321, 642
489 : 1, 3, 163, 489
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,489,288,756,923, is 1.
Now, the common factors can be found like this.
642:2x 3x 107
489:3x 163
288:2x 2x 2x 2x 2x 3x 3
756:2x 2x 3x 3x 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 3x 3x 3x 3 = 648
Therefore, the value for common factors is 648.
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 = 63089904713472/(1x648)
LCM = 63089904713472/648
LCM = 97360964064
Thus, we can understand that the LCM of 642,489,288,756,923 is 97360964064.
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FAQs on LCM of 642, 489, 288, 756, 923
1. What is the LCM of 642, 489, 288, 756, 923?
Answer: LCM of 642, 489, 288, 756, 923 is 97360964064.
2. How to calculate the LCM of 642, 489, 288, 756, 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 642, 489, 288, 756, 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}.