LCM of 897, 690, 906, 474, 107
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 897, 690, 906, 474, 107 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 897, 690, 906, 474, 107. So, keep reading to learn more.
Given numbers are 897,690,906,474,107
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 897,690,906,474,107 is 11449334910.
Find LCM of 897,690,906,474,107 with Prime Factorization
| 2 | 897, 690, 906, 474, 107 |
| 3 | 897, 345, 453, 237, 107 |
| 23 | 299, 115, 151, 79, 107 |
| 13, 5, 151, 79, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 13 x 5 x 151 x 79 x 107 = 11449334910
Therefore, the lowest common multiple of 897,690,906,474,107 is 11449334910.
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.
897 x 690 x 906 x 474 x 107 = 28440147916440
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.
897 : 1, 3, 13, 23, 39, 69, 299, 897
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
906 : 1, 2, 3, 6, 151, 302, 453, 906
474 : 1, 2, 3, 6, 79, 158, 237, 474
107 : 1, 107
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 897,690,906,474,107, is 1.
Now, the common factors can be found like this.
897:3x 13x 23
690:2x 3x 5x 23
906:2x 3x 151
474:2x 3x 79
107:107
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 3x 23 = 2484
Therefore, the value for common factors is 2484.
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 = 28440147916440/(1x2484)
LCM = 28440147916440/2484
LCM = 11449334910
Thus, we can understand that the LCM of 897,690,906,474,107 is 11449334910.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 897, 690, 906, 474, 107
1. What is the LCM of 897, 690, 906, 474, 107?
Answer: LCM of 897, 690, 906, 474, 107 is 11449334910.
2. How to calculate the LCM of 897, 690, 906, 474, 107?
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 897, 690, 906, 474, 107.
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}.