LCM of 698, 368, 904, 248, 206
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 698, 368, 904, 248, 206 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 698, 368, 904, 248, 206. So, keep reading to learn more.
Given numbers are 698,368,904,248,206
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 698,368,904,248,206 is 46339421488.
Find LCM of 698,368,904,248,206 with Prime Factorization
| 2 | 698, 368, 904, 248, 206 |
| 2 | 349, 184, 452, 124, 103 |
| 2 | 349, 92, 226, 62, 103 |
| 349, 46, 113, 31, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 349 x 46 x 113 x 31 x 103 = 46339421488
Therefore, the lowest common multiple of 698,368,904,248,206 is 46339421488.
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.
698 x 368 x 904 x 248 x 206 = 11862891900928
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.
698 : 1, 2, 349, 698
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
904 : 1, 2, 4, 8, 113, 226, 452, 904
248 : 1, 2, 4, 8, 31, 62, 124, 248
206 : 1, 2, 103, 206
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,368,904,248,206, is 2.
Now, the common factors can be found like this.
698:2x 349
368:2x 2x 2x 2x 23
904:2x 2x 2x 113
248:2x 2x 2x 31
206:2x 103
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 2 = 128
Therefore, the value for common factors is 128.
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 = 11862891900928/(2x128)
LCM = 11862891900928/256
LCM = 46339421488
Thus, we can understand that the LCM of 698,368,904,248,206 is 46339421488.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 698, 368, 904, 248, 206
1. What is the LCM of 698, 368, 904, 248, 206?
Answer: LCM of 698, 368, 904, 248, 206 is 46339421488.
2. How to calculate the LCM of 698, 368, 904, 248, 206?
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 698, 368, 904, 248, 206.
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}.