LCM of 414, 328, 540, 218
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 414, 328, 540, 218 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, 328, 540, 218. So, keep reading to learn more.
Given numbers are 414,328,540,218
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 414,328,540,218 is 111009960.
Find LCM of 414,328,540,218 with Prime Factorization
| 2 | 414, 328, 540, 218 |
| 2 | 207, 164, 270, 109 |
| 3 | 207, 82, 135, 109 |
| 3 | 69, 82, 45, 109 |
| 23, 82, 15, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 23 x 82 x 15 x 109 = 111009960
Therefore, the lowest common multiple of 414,328,540,218 is 111009960.
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 328 x 540 x 218 = 15985434240
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
328 : 1, 2, 4, 8, 41, 82, 164, 328
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
218 : 1, 2, 109, 218
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,328,540,218, is 2.
Now, the common factors can be found like this.
414:2x 3x 3x 23
328:2x 2x 2x 41
540:2x 2x 3x 3x 3x 5
218:2x 109
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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 15985434240/(2x72)
LCM = 15985434240/144
LCM = 111009960
Thus, we can understand that the LCM of 414,328,540,218 is 111009960.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 414, 328, 540, 218
1. What is the LCM of 414, 328, 540, 218?
Answer: LCM of 414, 328, 540, 218 is 111009960.
2. How to calculate the LCM of 414, 328, 540, 218?
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, 328, 540, 218.
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}.