LCM of 704, 364, 209, 391
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 704, 364, 209, 391 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 704, 364, 209, 391. So, keep reading to learn more.
Given numbers are 704,364,209,391
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,364,209,391 is 475931456.
Find LCM of 704,364,209,391 with Prime Factorization
| 2 | 704, 364, 209, 391 |
| 2 | 352, 182, 209, 391 |
| 11 | 176, 91, 209, 391 |
| 16, 91, 19, 391 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 16 x 91 x 19 x 391 = 475931456
Therefore, the lowest common multiple of 704,364,209,391 is 475931456.
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.
704 x 364 x 209 x 391 = 20940984064
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.
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
209 : 1, 11, 19, 209
391 : 1, 17, 23, 391
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,364,209,391, is 1.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
364:2x 2x 7x 13
209:11x 19
391:17x 23
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 11 = 44
Therefore, the value for common factors is 44.
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 = 20940984064/(1x44)
LCM = 20940984064/44
LCM = 475931456
Thus, we can understand that the LCM of 704,364,209,391 is 475931456.
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FAQs on LCM of 704, 364, 209, 391
1. What is the LCM of 704, 364, 209, 391?
Answer: LCM of 704, 364, 209, 391 is 475931456.
2. How to calculate the LCM of 704, 364, 209, 391?
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 704, 364, 209, 391.
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}.