LCM of 844, 704, 512, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 704, 512, 684 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 844, 704, 512, 684. So, keep reading to learn more.
Given numbers are 844,704,512,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,704,512,684 is 203208192.
Find LCM of 844,704,512,684 with Prime Factorization
| 2 | 844, 704, 512, 684 |
| 2 | 422, 352, 256, 342 |
| 2 | 211, 176, 128, 171 |
| 2 | 211, 88, 64, 171 |
| 2 | 211, 44, 32, 171 |
| 2 | 211, 22, 16, 171 |
| 211, 11, 8, 171 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 211 x 11 x 8 x 171 = 203208192
Therefore, the lowest common multiple of 844,704,512,684 is 203208192.
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.
844 x 704 x 512 x 684 = 208085188608
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.
844 : 1, 2, 4, 211, 422, 844
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,704,512,684, is 4.
Now, the common factors can be found like this.
844:2x 2x 211
704:2x 2x 2x 2x 2x 2x 11
512:2x 2x 2x 2x 2x 2x 2x 2x 2
684:2x 2x 3x 3x 19
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 2x 2x 2 = 256
Therefore, the value for common factors is 256.
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 = 208085188608/(4x256)
LCM = 208085188608/1024
LCM = 203208192
Thus, we can understand that the LCM of 844,704,512,684 is 203208192.
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FAQs on LCM of 844, 704, 512, 684
1. What is the LCM of 844, 704, 512, 684?
Answer: LCM of 844, 704, 512, 684 is 203208192.
2. How to calculate the LCM of 844, 704, 512, 684?
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 844, 704, 512, 684.
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}.