LCM of 808, 745, 205, 298
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 808, 745, 205, 298 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 808, 745, 205, 298. So, keep reading to learn more.
Given numbers are 808,745,205,298
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,745,205,298 is 24680360.
Find LCM of 808,745,205,298 with Prime Factorization
| 2 | 808, 745, 205, 298 |
| 5 | 404, 745, 205, 149 |
| 149 | 404, 149, 41, 149 |
| 404, 1, 41, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 149 x 404 x 1 x 41 x 1 = 24680360
Therefore, the lowest common multiple of 808,745,205,298 is 24680360.
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.
808 x 745 x 205 x 298 = 36773736400
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.
808 : 1, 2, 4, 8, 101, 202, 404, 808
745 : 1, 5, 149, 745
205 : 1, 5, 41, 205
298 : 1, 2, 149, 298
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,745,205,298, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
745:5x 149
205:5x 41
298:2x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 149 = 1490
Therefore, the value for common factors is 1490.
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 = 36773736400/(1x1490)
LCM = 36773736400/1490
LCM = 24680360
Thus, we can understand that the LCM of 808,745,205,298 is 24680360.
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FAQs on LCM of 808, 745, 205, 298
1. What is the LCM of 808, 745, 205, 298?
Answer: LCM of 808, 745, 205, 298 is 24680360.
2. How to calculate the LCM of 808, 745, 205, 298?
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 808, 745, 205, 298.
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}.