LCM of 206, 314, 309, 694
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 206, 314, 309, 694 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 206, 314, 309, 694. So, keep reading to learn more.
Given numbers are 206,314,309,694
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 206,314,309,694 is 33668022.
Find LCM of 206,314,309,694 with Prime Factorization
| 2 | 206, 314, 309, 694 |
| 103 | 103, 157, 309, 347 |
| 1, 157, 3, 347 |
Multiply the prime numbers at the bottom and the left side.
2 x 103 x 1 x 157 x 3 x 347 = 33668022
Therefore, the lowest common multiple of 206,314,309,694 is 33668022.
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.
206 x 314 x 309 x 694 = 13871225064
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.
206 : 1, 2, 103, 206
314 : 1, 2, 157, 314
309 : 1, 3, 103, 309
694 : 1, 2, 347, 694
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,314,309,694, is 1.
Now, the common factors can be found like this.
206:2x 103
314:2x 157
309:3x 103
694:2x 347
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 103 = 412
Therefore, the value for common factors is 412.
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 = 13871225064/(1x412)
LCM = 13871225064/412
LCM = 33668022
Thus, we can understand that the LCM of 206,314,309,694 is 33668022.
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FAQs on LCM of 206, 314, 309, 694
1. What is the LCM of 206, 314, 309, 694?
Answer: LCM of 206, 314, 309, 694 is 33668022.
2. How to calculate the LCM of 206, 314, 309, 694?
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 206, 314, 309, 694.
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}.