LCM of 469, 493, 390, 835, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 469, 493, 390, 835, 546 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 469, 493, 390, 835, 546. So, keep reading to learn more.
Given numbers are 469,493,390,835,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 469,493,390,835,546 is 15059163210.
Find LCM of 469,493,390,835,546 with Prime Factorization
| 2 | 469, 493, 390, 835, 546 |
| 3 | 469, 493, 195, 835, 273 |
| 5 | 469, 493, 65, 835, 91 |
| 7 | 469, 493, 13, 167, 91 |
| 13 | 67, 493, 13, 167, 13 |
| 67, 493, 1, 167, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 13 x 67 x 493 x 1 x 167 x 1 = 15059163210
Therefore, the lowest common multiple of 469,493,390,835,546 is 15059163210.
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.
469 x 493 x 390 x 835 x 546 = 41111515563300
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.
469 : 1, 7, 67, 469
493 : 1, 17, 29, 493
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
835 : 1, 5, 167, 835
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,493,390,835,546, is 1.
Now, the common factors can be found like this.
469:7x 67
493:17x 29
390:2x 3x 5x 13
835:5x 167
546:2x 3x 7x 13
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 5x 7x 13 = 2730
Therefore, the value for common factors is 2730.
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 = 41111515563300/(1x2730)
LCM = 41111515563300/2730
LCM = 15059163210
Thus, we can understand that the LCM of 469,493,390,835,546 is 15059163210.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 469, 493, 390, 835, 546
1. What is the LCM of 469, 493, 390, 835, 546?
Answer: LCM of 469, 493, 390, 835, 546 is 15059163210.
2. How to calculate the LCM of 469, 493, 390, 835, 546?
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 469, 493, 390, 835, 546.
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}.