LCM of 194, 230, 207, 717
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 194, 230, 207, 717 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 194, 230, 207, 717. So, keep reading to learn more.
Given numbers are 194,230,207,717
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 194,230,207,717 is 47988810.
Find LCM of 194,230,207,717 with Prime Factorization
| 2 | 194, 230, 207, 717 |
| 3 | 97, 115, 207, 717 |
| 23 | 97, 115, 69, 239 |
| 97, 5, 3, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 97 x 5 x 3 x 239 = 47988810
Therefore, the lowest common multiple of 194,230,207,717 is 47988810.
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.
194 x 230 x 207 x 717 = 6622455780
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.
194 : 1, 2, 97, 194
230 : 1, 2, 5, 10, 23, 46, 115, 230
207 : 1, 3, 9, 23, 69, 207
717 : 1, 3, 239, 717
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 194,230,207,717, is 1.
Now, the common factors can be found like this.
194:2x 97
230:2x 5x 23
207:3x 3x 23
717:3x 239
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 23 = 138
Therefore, the value for common factors is 138.
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 = 6622455780/(1x138)
LCM = 6622455780/138
LCM = 47988810
Thus, we can understand that the LCM of 194,230,207,717 is 47988810.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 194, 230, 207, 717
1. What is the LCM of 194, 230, 207, 717?
Answer: LCM of 194, 230, 207, 717 is 47988810.
2. How to calculate the LCM of 194, 230, 207, 717?
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 194, 230, 207, 717.
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}.