Find the LCM of 704, 494, 395, 315, 733 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, 494, 395, 315, 733. So, keep reading to learn more.
Given numbers are 704,494,395,315,733
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,494,395,315,733 is 3171839711040.
Find LCM of 704,494,395,315,733 with Prime Factorization
2 | 704, 494, 395, 315, 733 |
5 | 352, 247, 395, 315, 733 |
352, 247, 79, 63, 733 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 352 x 247 x 79 x 63 x 733 = 3171839711040
Therefore, the lowest common multiple of 704,494,395,315,733 is 3171839711040.
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 494 x 395 x 315 x 733 = 31718397110400
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
494 : 1, 2, 13, 19, 26, 38, 247, 494
395 : 1, 5, 79, 395
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
733 : 1, 733
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,494,395,315,733, is 1.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
494:2x 13x 19
395:5x 79
315:3x 3x 5x 7
733:733
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 31718397110400/(1x10)
LCM = 31718397110400/10
LCM = 3171839711040
Thus, we can understand that the LCM of 704,494,395,315,733 is 3171839711040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 704, 494, 395, 315, 733?
Answer: LCM of 704, 494, 395, 315, 733 is 3171839711040.
2. How to calculate the LCM of 704, 494, 395, 315, 733?
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, 494, 395, 315, 733.
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}.