Find the LCM of 733, 442, 286, 704, 704 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 733, 442, 286, 704, 704. So, keep reading to learn more.
Given numbers are 733,442,286,704,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 733,442,286,704,704 is 114043072.
Find LCM of 733,442,286,704,704 with Prime Factorization
2 | 733, 442, 286, 704, 704 |
2 | 733, 221, 143, 352, 352 |
2 | 733, 221, 143, 176, 176 |
2 | 733, 221, 143, 88, 88 |
2 | 733, 221, 143, 44, 44 |
2 | 733, 221, 143, 22, 22 |
11 | 733, 221, 143, 11, 11 |
13 | 733, 221, 13, 1, 1 |
733, 17, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 11 x 13 x 733 x 17 x 1 x 1 x 1 = 114043072
Therefore, the lowest common multiple of 733,442,286,704,704 is 114043072.
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.
733 x 442 x 286 x 704 x 704 = 45923776577536
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.
733 : 1, 733
442 : 1, 2, 13, 17, 26, 34, 221, 442
286 : 1, 2, 11, 13, 22, 26, 143, 286
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 733,442,286,704,704, is 1.
Now, the common factors can be found like this.
733:733
442:2x 13x 17
286:2x 11x 13
704:2x 2x 2x 2x 2x 2x 11
704:2x 2x 2x 2x 2x 2x 11
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 2x 2x 2x 2x 2x 2x 11x 11x 13 = 402688
Therefore, the value for common factors is 402688.
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 = 45923776577536/(1x402688)
LCM = 45923776577536/402688
LCM = 114043072
Thus, we can understand that the LCM of 733,442,286,704,704 is 114043072.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 733, 442, 286, 704, 704?
Answer: LCM of 733, 442, 286, 704, 704 is 114043072.
2. How to calculate the LCM of 733, 442, 286, 704, 704?
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 733, 442, 286, 704, 704.
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}.