LCM of 904, 163, 187, 704, 146
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 904, 163, 187, 704, 146 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 904, 163, 187, 704, 146. So, keep reading to learn more.
Given numbers are 904,163,187,704,146
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 904,163,187,704,146 is 16092017216.
Find LCM of 904,163,187,704,146 with Prime Factorization
| 2 | 904, 163, 187, 704, 146 |
| 2 | 452, 163, 187, 352, 73 |
| 2 | 226, 163, 187, 176, 73 |
| 11 | 113, 163, 187, 88, 73 |
| 113, 163, 17, 8, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 113 x 163 x 17 x 8 x 73 = 16092017216
Therefore, the lowest common multiple of 904,163,187,704,146 is 16092017216.
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.
904 x 163 x 187 x 704 x 146 = 2832195030016
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.
904 : 1, 2, 4, 8, 113, 226, 452, 904
163 : 1, 163
187 : 1, 11, 17, 187
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
146 : 1, 2, 73, 146
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,163,187,704,146, is 1.
Now, the common factors can be found like this.
904:2x 2x 2x 113
163:163
187:11x 17
704:2x 2x 2x 2x 2x 2x 11
146:2x 73
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 11 = 176
Therefore, the value for common factors is 176.
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 = 2832195030016/(1x176)
LCM = 2832195030016/176
LCM = 16092017216
Thus, we can understand that the LCM of 904,163,187,704,146 is 16092017216.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 904, 163, 187, 704, 146
1. What is the LCM of 904, 163, 187, 704, 146?
Answer: LCM of 904, 163, 187, 704, 146 is 16092017216.
2. How to calculate the LCM of 904, 163, 187, 704, 146?
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 904, 163, 187, 704, 146.
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}.