LCM of 395, 295, 583, 209
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 395, 295, 583, 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 395, 295, 583, 209. So, keep reading to learn more.
Given numbers are 395,295,583,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 395,295,583,209 is 258149485.
Find LCM of 395,295,583,209 with Prime Factorization
| 5 | 395, 295, 583, 209 |
| 11 | 79, 59, 583, 209 |
| 79, 59, 53, 19 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 79 x 59 x 53 x 19 = 258149485
Therefore, the lowest common multiple of 395,295,583,209 is 258149485.
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.
395 x 295 x 583 x 209 = 14198221675
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.
395 : 1, 5, 79, 395
295 : 1, 5, 59, 295
583 : 1, 11, 53, 583
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,295,583,209, is 1.
Now, the common factors can be found like this.
395:5x 79
295:5x 59
583:11x 53
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 11 = 55
Therefore, the value for common factors is 55.
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 = 14198221675/(1x55)
LCM = 14198221675/55
LCM = 258149485
Thus, we can understand that the LCM of 395,295,583,209 is 258149485.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 395, 295, 583, 209
1. What is the LCM of 395, 295, 583, 209?
Answer: LCM of 395, 295, 583, 209 is 258149485.
2. How to calculate the LCM of 395, 295, 583, 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 395, 295, 583, 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}.