Find the LCM of 704, 739, 808, 715, 533 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, 739, 808, 715, 533. So, keep reading to learn more.
Given numbers are 704,739,808,715,533
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,739,808,715,533 is 140034706240.
Find LCM of 704,739,808,715,533 with Prime Factorization
2 | 704, 739, 808, 715, 533 |
2 | 352, 739, 404, 715, 533 |
2 | 176, 739, 202, 715, 533 |
11 | 88, 739, 101, 715, 533 |
13 | 8, 739, 101, 65, 533 |
8, 739, 101, 5, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 13 x 8 x 739 x 101 x 5 x 41 = 140034706240
Therefore, the lowest common multiple of 704,739,808,715,533 is 140034706240.
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 739 x 808 x 715 x 533 = 160199703938560
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
739 : 1, 739
808 : 1, 2, 4, 8, 101, 202, 404, 808
715 : 1, 5, 11, 13, 55, 65, 143, 715
533 : 1, 13, 41, 533
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,739,808,715,533, is 1.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
739:739
808:2x 2x 2x 101
715:5x 11x 13
533:13x 41
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 11x 13 = 1144
Therefore, the value for common factors is 1144.
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 = 160199703938560/(1x1144)
LCM = 160199703938560/1144
LCM = 140034706240
Thus, we can understand that the LCM of 704,739,808,715,533 is 140034706240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 704, 739, 808, 715, 533?
Answer: LCM of 704, 739, 808, 715, 533 is 140034706240.
2. How to calculate the LCM of 704, 739, 808, 715, 533?
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, 739, 808, 715, 533.
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}.