LCM of 286, 345, 409, 458, 522
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 286, 345, 409, 458, 522 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 286, 345, 409, 458, 522. So, keep reading to learn more.
Given numbers are 286,345,409,458,522
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 286,345,409,458,522 is 804013185690.
Find LCM of 286,345,409,458,522 with Prime Factorization
| 2 | 286, 345, 409, 458, 522 |
| 3 | 143, 345, 409, 229, 261 |
| 143, 115, 409, 229, 87 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 143 x 115 x 409 x 229 x 87 = 804013185690
Therefore, the lowest common multiple of 286,345,409,458,522 is 804013185690.
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.
286 x 345 x 409 x 458 x 522 = 9648158228280
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.
286 : 1, 2, 11, 13, 22, 26, 143, 286
345 : 1, 3, 5, 15, 23, 69, 115, 345
409 : 1, 409
458 : 1, 2, 229, 458
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,345,409,458,522, is 1.
Now, the common factors can be found like this.
286:2x 11x 13
345:3x 5x 23
409:409
458:2x 229
522:2x 3x 3x 29
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 3 = 12
Therefore, the value for common factors is 12.
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 = 9648158228280/(1x12)
LCM = 9648158228280/12
LCM = 804013185690
Thus, we can understand that the LCM of 286,345,409,458,522 is 804013185690.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 286, 345, 409, 458, 522
1. What is the LCM of 286, 345, 409, 458, 522?
Answer: LCM of 286, 345, 409, 458, 522 is 804013185690.
2. How to calculate the LCM of 286, 345, 409, 458, 522?
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 286, 345, 409, 458, 522.
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}.