LCM of 654, 351, 414, 359, 815
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 654, 351, 414, 359, 815 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 654, 351, 414, 359, 815. So, keep reading to learn more.
Given numbers are 654,351,414,359,815
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 654,351,414,359,815 is 514924437690.
Find LCM of 654,351,414,359,815 with Prime Factorization
| 2 | 654, 351, 414, 359, 815 |
| 3 | 327, 351, 207, 359, 815 |
| 3 | 109, 117, 69, 359, 815 |
| 109, 39, 23, 359, 815 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 109 x 39 x 23 x 359 x 815 = 514924437690
Therefore, the lowest common multiple of 654,351,414,359,815 is 514924437690.
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.
654 x 351 x 414 x 359 x 815 = 27805919635260
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.
654 : 1, 2, 3, 6, 109, 218, 327, 654
351 : 1, 3, 9, 13, 27, 39, 117, 351
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
359 : 1, 359
815 : 1, 5, 163, 815
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,351,414,359,815, is 1.
Now, the common factors can be found like this.
654:2x 3x 109
351:3x 3x 3x 13
414:2x 3x 3x 23
359:359
815:5x 163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3 = 54
Therefore, the value for common factors is 54.
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 = 27805919635260/(1x54)
LCM = 27805919635260/54
LCM = 514924437690
Thus, we can understand that the LCM of 654,351,414,359,815 is 514924437690.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 654, 351, 414, 359, 815
1. What is the LCM of 654, 351, 414, 359, 815?
Answer: LCM of 654, 351, 414, 359, 815 is 514924437690.
2. How to calculate the LCM of 654, 351, 414, 359, 815?
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 654, 351, 414, 359, 815.
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}.