LCM of 731, 954, 231, 106, 300
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 731, 954, 231, 106, 300 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, 954, 231, 106, 300. So, keep reading to learn more.
Given numbers are 731,954,231,106,300
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 731,954,231,106,300 is 2684889900.
Find LCM of 731,954,231,106,300 with Prime Factorization
| 2 | 731, 954, 231, 106, 300 |
| 3 | 731, 477, 231, 53, 150 |
| 53 | 731, 159, 77, 53, 50 |
| 731, 3, 77, 1, 50 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 53 x 731 x 3 x 77 x 1 x 50 = 2684889900
Therefore, the lowest common multiple of 731,954,231,106,300 is 2684889900.
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 954 x 231 x 106 x 300 = 5122769929200
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
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
231 : 1, 3, 7, 11, 21, 33, 77, 231
106 : 1, 2, 53, 106
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,954,231,106,300, is 1.
Now, the common factors can be found like this.
731:17x 43
954:2x 3x 3x 53
231:3x 7x 11
106:2x 53
300:2x 2x 3x 5x 5
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 3x 53 = 1908
Therefore, the value for common factors is 1908.
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 = 5122769929200/(1x1908)
LCM = 5122769929200/1908
LCM = 2684889900
Thus, we can understand that the LCM of 731,954,231,106,300 is 2684889900.
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FAQs on LCM of 731, 954, 231, 106, 300
1. What is the LCM of 731, 954, 231, 106, 300?
Answer: LCM of 731, 954, 231, 106, 300 is 2684889900.
2. How to calculate the LCM of 731, 954, 231, 106, 300?
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, 954, 231, 106, 300.
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}.