LCM of 243, 214, 321, 300
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 243, 214, 321, 300 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 243, 214, 321, 300. So, keep reading to learn more.
Given numbers are 243,214,321,300
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 243,214,321,300 is 2600100.
Find LCM of 243,214,321,300 with Prime Factorization
| 2 | 243, 214, 321, 300 |
| 3 | 243, 107, 321, 150 |
| 107 | 81, 107, 107, 50 |
| 81, 1, 1, 50 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 107 x 81 x 1 x 1 x 50 = 2600100
Therefore, the lowest common multiple of 243,214,321,300 is 2600100.
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.
243 x 214 x 321 x 300 = 5007792600
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.
243 : 1, 3, 9, 27, 81, 243
214 : 1, 2, 107, 214
321 : 1, 3, 107, 321
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 243,214,321,300, is 1.
Now, the common factors can be found like this.
243:3x 3x 3x 3x 3
214:2x 107
321:3x 107
300:2x 2x 3x 5x 5
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 = 5007792600/(1x1926)
LCM = 5007792600/1926
LCM = 2600100
Thus, we can understand that the LCM of 243,214,321,300 is 2600100.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 243, 214, 321, 300
1. What is the LCM of 243, 214, 321, 300?
Answer: LCM of 243, 214, 321, 300 is 2600100.
2. How to calculate the LCM of 243, 214, 321, 300?
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 243, 214, 321, 300.
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}.