LCM of 106, 803, 396, 438, 731
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 106, 803, 396, 438, 731 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 106, 803, 396, 438, 731. So, keep reading to learn more.
Given numbers are 106,803,396,438,731
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 106,803,396,438,731 is 1119982644.
Find LCM of 106,803,396,438,731 with Prime Factorization
| 2 | 106, 803, 396, 438, 731 |
| 3 | 53, 803, 198, 219, 731 |
| 11 | 53, 803, 66, 73, 731 |
| 73 | 53, 73, 6, 73, 731 |
| 53, 1, 6, 1, 731 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 73 x 53 x 1 x 6 x 1 x 731 = 1119982644
Therefore, the lowest common multiple of 106,803,396,438,731 is 1119982644.
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.
106 x 803 x 396 x 438 x 731 = 10792152757584
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.
106 : 1, 2, 53, 106
803 : 1, 11, 73, 803
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
438 : 1, 2, 3, 6, 73, 146, 219, 438
731 : 1, 17, 43, 731
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,803,396,438,731, is 1.
Now, the common factors can be found like this.
106:2x 53
803:11x 73
396:2x 2x 3x 3x 11
438:2x 3x 73
731:17x 43
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 3x 11x 73 = 9636
Therefore, the value for common factors is 9636.
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 = 10792152757584/(1x9636)
LCM = 10792152757584/9636
LCM = 1119982644
Thus, we can understand that the LCM of 106,803,396,438,731 is 1119982644.
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FAQs on LCM of 106, 803, 396, 438, 731
1. What is the LCM of 106, 803, 396, 438, 731?
Answer: LCM of 106, 803, 396, 438, 731 is 1119982644.
2. How to calculate the LCM of 106, 803, 396, 438, 731?
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 106, 803, 396, 438, 731.
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}.