LCM of 512, 148, 111, 567, 851
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 512, 148, 111, 567, 851 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 512, 148, 111, 567, 851. So, keep reading to learn more.
Given numbers are 512,148,111,567,851
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 512,148,111,567,851 is 247048704.
Find LCM of 512,148,111,567,851 with Prime Factorization
| 2 | 512, 148, 111, 567, 851 |
| 2 | 256, 74, 111, 567, 851 |
| 3 | 128, 37, 111, 567, 851 |
| 37 | 128, 37, 37, 189, 851 |
| 128, 1, 1, 189, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 37 x 128 x 1 x 1 x 189 x 23 = 247048704
Therefore, the lowest common multiple of 512,148,111,567,851 is 247048704.
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.
512 x 148 x 111 x 567 x 851 = 4058516109312
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.
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
148 : 1, 2, 4, 37, 74, 148
111 : 1, 3, 37, 111
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
851 : 1, 23, 37, 851
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,148,111,567,851, is 1.
Now, the common factors can be found like this.
512:2x 2x 2x 2x 2x 2x 2x 2x 2
148:2x 2x 37
111:3x 37
567:3x 3x 3x 3x 7
851:23x 37
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 37x 37 = 16428
Therefore, the value for common factors is 16428.
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 = 4058516109312/(1x16428)
LCM = 4058516109312/16428
LCM = 247048704
Thus, we can understand that the LCM of 512,148,111,567,851 is 247048704.
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FAQs on LCM of 512, 148, 111, 567, 851
1. What is the LCM of 512, 148, 111, 567, 851?
Answer: LCM of 512, 148, 111, 567, 851 is 247048704.
2. How to calculate the LCM of 512, 148, 111, 567, 851?
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 512, 148, 111, 567, 851.
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}.