LCM of 695, 605, 330, 209
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 695, 605, 330, 209 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 695, 605, 330, 209. So, keep reading to learn more.
Given numbers are 695,605,330,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 695,605,330,209 is 9586830.
Find LCM of 695,605,330,209 with Prime Factorization
| 5 | 695, 605, 330, 209 |
| 11 | 139, 121, 66, 209 |
| 139, 11, 6, 19 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 139 x 11 x 6 x 19 = 9586830
Therefore, the lowest common multiple of 695,605,330,209 is 9586830.
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.
695 x 605 x 330 x 209 = 29000160750
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.
695 : 1, 5, 139, 695
605 : 1, 5, 11, 55, 121, 605
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 695,605,330,209, is 1.
Now, the common factors can be found like this.
695:5x 139
605:5x 11x 11
330:2x 3x 5x 11
209:11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 11x 11 = 3025
Therefore, the value for common factors is 3025.
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 = 29000160750/(1x3025)
LCM = 29000160750/3025
LCM = 9586830
Thus, we can understand that the LCM of 695,605,330,209 is 9586830.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 695, 605, 330, 209
1. What is the LCM of 695, 605, 330, 209?
Answer: LCM of 695, 605, 330, 209 is 9586830.
2. How to calculate the LCM of 695, 605, 330, 209?
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 695, 605, 330, 209.
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}.