LCM of 849, 105, 214, 243
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 849, 105, 214, 243 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 849, 105, 214, 243. So, keep reading to learn more.
Given numbers are 849,105,214,243
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 849,105,214,243 is 515079810.
Find LCM of 849,105,214,243 with Prime Factorization
| 3 | 849, 105, 214, 243 |
| 283, 35, 214, 81 |
Multiply the prime numbers at the bottom and the left side.
3 x 283 x 35 x 214 x 81 = 515079810
Therefore, the lowest common multiple of 849,105,214,243 is 515079810.
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.
849 x 105 x 214 x 243 = 4635718290
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.
849 : 1, 3, 283, 849
105 : 1, 3, 5, 7, 15, 21, 35, 105
214 : 1, 2, 107, 214
243 : 1, 3, 9, 27, 81, 243
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 849,105,214,243, is 1.
Now, the common factors can be found like this.
849:3x 283
105:3x 5x 7
214:2x 107
243:3x 3x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 4635718290/(1x9)
LCM = 4635718290/9
LCM = 515079810
Thus, we can understand that the LCM of 849,105,214,243 is 515079810.
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FAQs on LCM of 849, 105, 214, 243
1. What is the LCM of 849, 105, 214, 243?
Answer: LCM of 849, 105, 214, 243 is 515079810.
2. How to calculate the LCM of 849, 105, 214, 243?
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 849, 105, 214, 243.
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}.