LCM of 193, 703, 608, 363, 226
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 193, 703, 608, 363, 226 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 193, 703, 608, 363, 226. So, keep reading to learn more.
Given numbers are 193,703,608,363,226
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 193,703,608,363,226 is 178093340832.
Find LCM of 193,703,608,363,226 with Prime Factorization
| 2 | 193, 703, 608, 363, 226 |
| 19 | 193, 703, 304, 363, 113 |
| 193, 37, 16, 363, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 193 x 37 x 16 x 363 x 113 = 178093340832
Therefore, the lowest common multiple of 193,703,608,363,226 is 178093340832.
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.
193 x 703 x 608 x 363 x 226 = 6767546951616
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.
193 : 1, 193
703 : 1, 19, 37, 703
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
363 : 1, 3, 11, 33, 121, 363
226 : 1, 2, 113, 226
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 193,703,608,363,226, is 1.
Now, the common factors can be found like this.
193:193
703:19x 37
608:2x 2x 2x 2x 2x 19
363:3x 11x 11
226:2x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19 = 38
Therefore, the value for common factors is 38.
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 = 6767546951616/(1x38)
LCM = 6767546951616/38
LCM = 178093340832
Thus, we can understand that the LCM of 193,703,608,363,226 is 178093340832.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 193, 703, 608, 363, 226
1. What is the LCM of 193, 703, 608, 363, 226?
Answer: LCM of 193, 703, 608, 363, 226 is 178093340832.
2. How to calculate the LCM of 193, 703, 608, 363, 226?
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 193, 703, 608, 363, 226.
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}.