LCM of 380, 209, 319, 339
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 380, 209, 319, 339 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 380, 209, 319, 339. So, keep reading to learn more.
Given numbers are 380,209,319,339
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 380,209,319,339 is 41093580.
Find LCM of 380,209,319,339 with Prime Factorization
| 11 | 380, 209, 319, 339 |
| 19 | 380, 19, 29, 339 |
| 20, 1, 29, 339 |
Multiply the prime numbers at the bottom and the left side.
11 x 19 x 20 x 1 x 29 x 339 = 41093580
Therefore, the lowest common multiple of 380,209,319,339 is 41093580.
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.
380 x 209 x 319 x 339 = 8588558220
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.
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
209 : 1, 11, 19, 209
319 : 1, 11, 29, 319
339 : 1, 3, 113, 339
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,209,319,339, is 1.
Now, the common factors can be found like this.
380:2x 2x 5x 19
209:11x 19
319:11x 29
339:3x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 19 = 209
Therefore, the value for common factors is 209.
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 = 8588558220/(1x209)
LCM = 8588558220/209
LCM = 41093580
Thus, we can understand that the LCM of 380,209,319,339 is 41093580.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 380, 209, 319, 339
1. What is the LCM of 380, 209, 319, 339?
Answer: LCM of 380, 209, 319, 339 is 41093580.
2. How to calculate the LCM of 380, 209, 319, 339?
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 380, 209, 319, 339.
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}.