LCM of 218, 768, 321, 418
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 218, 768, 321, 418 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, 768, 321, 418. So, keep reading to learn more.
Given numbers are 218,768,321,418
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 218,768,321,418 is 1872051456.
Find LCM of 218,768,321,418 with Prime Factorization
| 2 | 218, 768, 321, 418 |
| 3 | 109, 384, 321, 209 |
| 109, 128, 107, 209 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 109 x 128 x 107 x 209 = 1872051456
Therefore, the lowest common multiple of 218,768,321,418 is 1872051456.
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 768 x 321 x 418 = 22464617472
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
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
321 : 1, 3, 107, 321
418 : 1, 2, 11, 19, 22, 38, 209, 418
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,768,321,418, is 1.
Now, the common factors can be found like this.
218:2x 109
768:2x 2x 2x 2x 2x 2x 2x 2x 3
321:3x 107
418:2x 11x 19
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 = 22464617472/(1x12)
LCM = 22464617472/12
LCM = 1872051456
Thus, we can understand that the LCM of 218,768,321,418 is 1872051456.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 218, 768, 321, 418
1. What is the LCM of 218, 768, 321, 418?
Answer: LCM of 218, 768, 321, 418 is 1872051456.
2. How to calculate the LCM of 218, 768, 321, 418?
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, 768, 321, 418.
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}.