LCM of 218, 414, 678, 452
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 218, 414, 678, 452 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 218, 414, 678, 452. So, keep reading to learn more.
Given numbers are 218,414,678,452
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 218,414,678,452 is 10198476.
Find LCM of 218,414,678,452 with Prime Factorization
| 2 | 218, 414, 678, 452 |
| 3 | 109, 207, 339, 226 |
| 113 | 109, 69, 113, 226 |
| 109, 69, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 113 x 109 x 69 x 1 x 2 = 10198476
Therefore, the lowest common multiple of 218,414,678,452 is 10198476.
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.
218 x 414 x 678 x 452 = 27658266912
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.
218 : 1, 2, 109, 218
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
678 : 1, 2, 3, 6, 113, 226, 339, 678
452 : 1, 2, 4, 113, 226, 452
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,414,678,452, is 2.
Now, the common factors can be found like this.
218:2x 109
414:2x 3x 3x 23
678:2x 3x 113
452:2x 2x 113
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 113 = 1356
Therefore, the value for common factors is 1356.
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 = 27658266912/(2x1356)
LCM = 27658266912/2712
LCM = 10198476
Thus, we can understand that the LCM of 218,414,678,452 is 10198476.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 218, 414, 678, 452
1. What is the LCM of 218, 414, 678, 452?
Answer: LCM of 218, 414, 678, 452 is 10198476.
2. How to calculate the LCM of 218, 414, 678, 452?
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 218, 414, 678, 452.
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}.