LCM of 337, 206, 704, 756, 239
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 337, 206, 704, 756, 239 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 337, 206, 704, 756, 239. So, keep reading to learn more.
Given numbers are 337,206,704,756,239
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 337,206,704,756,239 is 1103823129024.
Find LCM of 337,206,704,756,239 with Prime Factorization
| 2 | 337, 206, 704, 756, 239 |
| 2 | 337, 103, 352, 378, 239 |
| 337, 103, 176, 189, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 337 x 103 x 176 x 189 x 239 = 1103823129024
Therefore, the lowest common multiple of 337,206,704,756,239 is 1103823129024.
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.
337 x 206 x 704 x 756 x 239 = 8830585032192
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.
337 : 1, 337
206 : 1, 2, 103, 206
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
239 : 1, 239
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 337,206,704,756,239, is 1.
Now, the common factors can be found like this.
337:337
206:2x 103
704:2x 2x 2x 2x 2x 2x 11
756:2x 2x 3x 3x 3x 7
239:239
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 2 = 8
Therefore, the value for common factors is 8.
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 = 8830585032192/(1x8)
LCM = 8830585032192/8
LCM = 1103823129024
Thus, we can understand that the LCM of 337,206,704,756,239 is 1103823129024.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 337, 206, 704, 756, 239
1. What is the LCM of 337, 206, 704, 756, 239?
Answer: LCM of 337, 206, 704, 756, 239 is 1103823129024.
2. How to calculate the LCM of 337, 206, 704, 756, 239?
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 337, 206, 704, 756, 239.
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}.