LCM of 414, 405, 286, 676
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 414, 405, 286, 676 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 414, 405, 286, 676. So, keep reading to learn more.
Given numbers are 414,405,286,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 414,405,286,676 is 69266340.
Find LCM of 414,405,286,676 with Prime Factorization
| 2 | 414, 405, 286, 676 |
| 3 | 207, 405, 143, 338 |
| 3 | 69, 135, 143, 338 |
| 13 | 23, 45, 143, 338 |
| 23, 45, 11, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 23 x 45 x 11 x 26 = 69266340
Therefore, the lowest common multiple of 414,405,286,676 is 69266340.
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.
414 x 405 x 286 x 676 = 32416647120
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.
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
286 : 1, 2, 11, 13, 22, 26, 143, 286
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,405,286,676, is 1.
Now, the common factors can be found like this.
414:2x 3x 3x 23
405:3x 3x 3x 3x 5
286:2x 11x 13
676:2x 2x 13x 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 2x 3x 3x 13 = 468
Therefore, the value for common factors is 468.
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 = 32416647120/(1x468)
LCM = 32416647120/468
LCM = 69266340
Thus, we can understand that the LCM of 414,405,286,676 is 69266340.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 414, 405, 286, 676
1. What is the LCM of 414, 405, 286, 676?
Answer: LCM of 414, 405, 286, 676 is 69266340.
2. How to calculate the LCM of 414, 405, 286, 676?
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 414, 405, 286, 676.
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}.