LCM of 209, 309, 412, 301, 206
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 209, 309, 412, 301, 206 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 209, 309, 412, 301, 206. So, keep reading to learn more.
Given numbers are 209,309,412,301,206
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 209,309,412,301,206 is 77755524.
Find LCM of 209,309,412,301,206 with Prime Factorization
| 2 | 209, 309, 412, 301, 206 |
| 103 | 209, 309, 206, 301, 103 |
| 209, 3, 2, 301, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 103 x 209 x 3 x 2 x 301 x 1 = 77755524
Therefore, the lowest common multiple of 209,309,412,301,206 is 77755524.
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.
209 x 309 x 412 x 301 x 206 = 1649816708232
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.
209 : 1, 11, 19, 209
309 : 1, 3, 103, 309
412 : 1, 2, 4, 103, 206, 412
301 : 1, 7, 43, 301
206 : 1, 2, 103, 206
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,309,412,301,206, is 1.
Now, the common factors can be found like this.
209:11x 19
309:3x 103
412:2x 2x 103
301:7x 43
206:2x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 103x 103 = 21218
Therefore, the value for common factors is 21218.
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 = 1649816708232/(1x21218)
LCM = 1649816708232/21218
LCM = 77755524
Thus, we can understand that the LCM of 209,309,412,301,206 is 77755524.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 209, 309, 412, 301, 206
1. What is the LCM of 209, 309, 412, 301, 206?
Answer: LCM of 209, 309, 412, 301, 206 is 77755524.
2. How to calculate the LCM of 209, 309, 412, 301, 206?
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 209, 309, 412, 301, 206.
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}.