LCM of 380, 432, 646, 345, 209
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 380, 432, 646, 345, 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 380, 432, 646, 345, 209. So, keep reading to learn more.
Given numbers are 380,432,646,345,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 380,432,646,345,209 is 176513040.
Find LCM of 380,432,646,345,209 with Prime Factorization
| 2 | 380, 432, 646, 345, 209 |
| 2 | 190, 216, 323, 345, 209 |
| 3 | 95, 108, 323, 345, 209 |
| 5 | 95, 36, 323, 115, 209 |
| 19 | 19, 36, 323, 23, 209 |
| 1, 36, 17, 23, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 19 x 1 x 36 x 17 x 23 x 11 = 176513040
Therefore, the lowest common multiple of 380,432,646,345,209 is 176513040.
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 432 x 646 x 345 x 209 = 7646544892800
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
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
646 : 1, 2, 17, 19, 34, 38, 323, 646
345 : 1, 3, 5, 15, 23, 69, 115, 345
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,432,646,345,209, is 1.
Now, the common factors can be found like this.
380:2x 2x 5x 19
432:2x 2x 2x 2x 3x 3x 3
646:2x 17x 19
345:3x 5x 23
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.
2x 2x 2x 3x 5x 19x 19 = 43320
Therefore, the value for common factors is 43320.
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 = 7646544892800/(1x43320)
LCM = 7646544892800/43320
LCM = 176513040
Thus, we can understand that the LCM of 380,432,646,345,209 is 176513040.
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FAQs on LCM of 380, 432, 646, 345, 209
1. What is the LCM of 380, 432, 646, 345, 209?
Answer: LCM of 380, 432, 646, 345, 209 is 176513040.
2. How to calculate the LCM of 380, 432, 646, 345, 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 380, 432, 646, 345, 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}.