LCM of 126, 690, 458, 405, 897
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 126, 690, 458, 405, 897 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 126, 690, 458, 405, 897. So, keep reading to learn more.
Given numbers are 126,690,458,405,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 126,690,458,405,897 is 388230570.
Find LCM of 126,690,458,405,897 with Prime Factorization
| 2 | 126, 690, 458, 405, 897 |
| 3 | 63, 345, 229, 405, 897 |
| 3 | 21, 115, 229, 135, 299 |
| 5 | 7, 115, 229, 45, 299 |
| 23 | 7, 23, 229, 9, 299 |
| 7, 1, 229, 9, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 23 x 7 x 1 x 229 x 9 x 13 = 388230570
Therefore, the lowest common multiple of 126,690,458,405,897 is 388230570.
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.
126 x 690 x 458 x 405 x 897 = 14465471038200
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.
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
458 : 1, 2, 229, 458
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
897 : 1, 3, 13, 23, 39, 69, 299, 897
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 126,690,458,405,897, is 1.
Now, the common factors can be found like this.
126:2x 3x 3x 7
690:2x 3x 5x 23
458:2x 229
405:3x 3x 3x 3x 5
897:3x 13x 23
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 3x 5x 23 = 37260
Therefore, the value for common factors is 37260.
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 = 14465471038200/(1x37260)
LCM = 14465471038200/37260
LCM = 388230570
Thus, we can understand that the LCM of 126,690,458,405,897 is 388230570.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 126, 690, 458, 405, 897
1. What is the LCM of 126, 690, 458, 405, 897?
Answer: LCM of 126, 690, 458, 405, 897 is 388230570.
2. How to calculate the LCM of 126, 690, 458, 405, 897?
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 126, 690, 458, 405, 897.
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}.