Find the LCM of 800, 731, 706, 544, 156 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 800, 731, 706, 544, 156. So, keep reading to learn more.
Given numbers are 800,731,706,544,156
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 800,731,706,544,156 is 8050941600.
Find LCM of 800,731,706,544,156 with Prime Factorization
2 | 800, 731, 706, 544, 156 |
2 | 400, 731, 353, 272, 78 |
2 | 200, 731, 353, 136, 39 |
2 | 100, 731, 353, 68, 39 |
2 | 50, 731, 353, 34, 39 |
17 | 25, 731, 353, 17, 39 |
25, 43, 353, 1, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 17 x 25 x 43 x 353 x 1 x 39 = 8050941600
Therefore, the lowest common multiple of 800,731,706,544,156 is 8050941600.
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.
800 x 731 x 706 x 544 x 156 = 35037697843200
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.
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
731 : 1, 17, 43, 731
706 : 1, 2, 353, 706
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 800,731,706,544,156, is 1.
Now, the common factors can be found like this.
800:2x 2x 2x 2x 2x 5x 5
731:17x 43
706:2x 353
544:2x 2x 2x 2x 2x 17
156:2x 2x 3x 13
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 17 = 4352
Therefore, the value for common factors is 4352.
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 = 35037697843200/(1x4352)
LCM = 35037697843200/4352
LCM = 8050941600
Thus, we can understand that the LCM of 800,731,706,544,156 is 8050941600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 800, 731, 706, 544, 156?
Answer: LCM of 800, 731, 706, 544, 156 is 8050941600.
2. How to calculate the LCM of 800, 731, 706, 544, 156?
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 800, 731, 706, 544, 156.
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}.