LCM of 336, 214, 321, 573
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 336, 214, 321, 573 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 336, 214, 321, 573. So, keep reading to learn more.
Given numbers are 336,214,321,573
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 336,214,321,573 is 6866832.
Find LCM of 336,214,321,573 with Prime Factorization
| 2 | 336, 214, 321, 573 |
| 3 | 168, 107, 321, 573 |
| 107 | 56, 107, 107, 191 |
| 56, 1, 1, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 107 x 56 x 1 x 1 x 191 = 6866832
Therefore, the lowest common multiple of 336,214,321,573 is 6866832.
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.
336 x 214 x 321 x 573 = 13225518432
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.
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
214 : 1, 2, 107, 214
321 : 1, 3, 107, 321
573 : 1, 3, 191, 573
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,214,321,573, is 1.
Now, the common factors can be found like this.
336:2x 2x 2x 2x 3x 7
214:2x 107
321:3x 107
573:3x 191
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 107 = 1926
Therefore, the value for common factors is 1926.
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 = 13225518432/(1x1926)
LCM = 13225518432/1926
LCM = 6866832
Thus, we can understand that the LCM of 336,214,321,573 is 6866832.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 336, 214, 321, 573
1. What is the LCM of 336, 214, 321, 573?
Answer: LCM of 336, 214, 321, 573 is 6866832.
2. How to calculate the LCM of 336, 214, 321, 573?
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 336, 214, 321, 573.
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}.