Find the LCM of 731, 172, 559, 812 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 731, 172, 559, 812. So, keep reading to learn more.
Given numbers are 731,172,559,812
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 731,172,559,812 is 7716436.
Find LCM of 731,172,559,812 with Prime Factorization
2 | 731, 172, 559, 812 |
2 | 731, 86, 559, 406 |
43 | 731, 43, 559, 203 |
17, 1, 13, 203 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 43 x 17 x 1 x 13 x 203 = 7716436
Therefore, the lowest common multiple of 731,172,559,812 is 7716436.
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.
731 x 172 x 559 x 812 = 57070760656
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.
731 : 1, 17, 43, 731
172 : 1, 2, 4, 43, 86, 172
559 : 1, 13, 43, 559
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,172,559,812, is 1.
Now, the common factors can be found like this.
731:17x 43
172:2x 2x 43
559:13x 43
812:2x 2x 7x 29
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 43x 43 = 7396
Therefore, the value for common factors is 7396.
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 = 57070760656/(1x7396)
LCM = 57070760656/7396
LCM = 7716436
Thus, we can understand that the LCM of 731,172,559,812 is 7716436.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 731, 172, 559, 812?
Answer: LCM of 731, 172, 559, 812 is 7716436.
2. How to calculate the LCM of 731, 172, 559, 812?
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 731, 172, 559, 812.
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}.