LCM of 906, 904, 576, 834, 489
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 904, 576, 834, 489 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 906, 904, 576, 834, 489. So, keep reading to learn more.
Given numbers are 906,904,576,834,489
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,904,576,834,489 is 222679521216.
Find LCM of 906,904,576,834,489 with Prime Factorization
| 2 | 906, 904, 576, 834, 489 |
| 2 | 453, 452, 288, 417, 489 |
| 2 | 453, 226, 144, 417, 489 |
| 3 | 453, 113, 72, 417, 489 |
| 151, 113, 24, 139, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 151 x 113 x 24 x 139 x 163 = 222679521216
Therefore, the lowest common multiple of 906,904,576,834,489 is 222679521216.
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.
906 x 904 x 576 x 834 x 489 = 192395106330624
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
904 : 1, 2, 4, 8, 113, 226, 452, 904
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
834 : 1, 2, 3, 6, 139, 278, 417, 834
489 : 1, 3, 163, 489
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,904,576,834,489, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
904:2x 2x 2x 113
576:2x 2x 2x 2x 2x 2x 3x 3
834:2x 3x 139
489:3x 163
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 2x 3x 3x 3 = 864
Therefore, the value for common factors is 864.
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 = 192395106330624/(1x864)
LCM = 192395106330624/864
LCM = 222679521216
Thus, we can understand that the LCM of 906,904,576,834,489 is 222679521216.
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FAQs on LCM of 906, 904, 576, 834, 489
1. What is the LCM of 906, 904, 576, 834, 489?
Answer: LCM of 906, 904, 576, 834, 489 is 222679521216.
2. How to calculate the LCM of 906, 904, 576, 834, 489?
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 906, 904, 576, 834, 489.
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}.