LCM of 668, 405, 420, 412
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 668, 405, 420, 412 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 668, 405, 420, 412. So, keep reading to learn more.
Given numbers are 668,405,420,412
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 668,405,420,412 is 195059340.
Find LCM of 668,405,420,412 with Prime Factorization
| 2 | 668, 405, 420, 412 |
| 2 | 334, 405, 210, 206 |
| 3 | 167, 405, 105, 103 |
| 5 | 167, 135, 35, 103 |
| 167, 27, 7, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 167 x 27 x 7 x 103 = 195059340
Therefore, the lowest common multiple of 668,405,420,412 is 195059340.
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.
668 x 405 x 420 x 412 = 46814241600
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.
668 : 1, 2, 4, 167, 334, 668
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
412 : 1, 2, 4, 103, 206, 412
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,405,420,412, is 1.
Now, the common factors can be found like this.
668:2x 2x 167
405:3x 3x 3x 3x 5
420:2x 2x 3x 5x 7
412:2x 2x 103
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 2x 2x 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 46814241600/(1x240)
LCM = 46814241600/240
LCM = 195059340
Thus, we can understand that the LCM of 668,405,420,412 is 195059340.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 668, 405, 420, 412
1. What is the LCM of 668, 405, 420, 412?
Answer: LCM of 668, 405, 420, 412 is 195059340.
2. How to calculate the LCM of 668, 405, 420, 412?
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 668, 405, 420, 412.
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}.