LCM of 543, 409, 324, 214
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 543, 409, 324, 214 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 543, 409, 324, 214. So, keep reading to learn more.
Given numbers are 543,409,324,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 543,409,324,214 is 2566437372.
Find LCM of 543,409,324,214 with Prime Factorization
| 2 | 543, 409, 324, 214 |
| 3 | 543, 409, 162, 107 |
| 181, 409, 54, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 181 x 409 x 54 x 107 = 2566437372
Therefore, the lowest common multiple of 543,409,324,214 is 2566437372.
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.
543 x 409 x 324 x 214 = 15398624232
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.
543 : 1, 3, 181, 543
409 : 1, 409
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
214 : 1, 2, 107, 214
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,409,324,214, is 1.
Now, the common factors can be found like this.
543:3x 181
409:409
324:2x 2x 3x 3x 3x 3
214:2x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 15398624232/(1x6)
LCM = 15398624232/6
LCM = 2566437372
Thus, we can understand that the LCM of 543,409,324,214 is 2566437372.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 543, 409, 324, 214
1. What is the LCM of 543, 409, 324, 214?
Answer: LCM of 543, 409, 324, 214 is 2566437372.
2. How to calculate the LCM of 543, 409, 324, 214?
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 543, 409, 324, 214.
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}.