LCM of 214, 364, 949, 871, 849
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 214, 364, 949, 871, 849 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 214, 364, 949, 871, 849. So, keep reading to learn more.
Given numbers are 214,364,949,871,849
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 214,364,949,871,849 is 161729973132.
Find LCM of 214,364,949,871,849 with Prime Factorization
| 2 | 214, 364, 949, 871, 849 |
| 13 | 107, 182, 949, 871, 849 |
| 107, 14, 73, 67, 849 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 107 x 14 x 73 x 67 x 849 = 161729973132
Therefore, the lowest common multiple of 214,364,949,871,849 is 161729973132.
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.
214 x 364 x 949 x 871 x 849 = 54664730918616
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.
214 : 1, 2, 107, 214
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
949 : 1, 13, 73, 949
871 : 1, 13, 67, 871
849 : 1, 3, 283, 849
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,364,949,871,849, is 1.
Now, the common factors can be found like this.
214:2x 107
364:2x 2x 7x 13
949:13x 73
871:13x 67
849:3x 283
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 13 = 338
Therefore, the value for common factors is 338.
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 = 54664730918616/(1x338)
LCM = 54664730918616/338
LCM = 161729973132
Thus, we can understand that the LCM of 214,364,949,871,849 is 161729973132.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 214, 364, 949, 871, 849
1. What is the LCM of 214, 364, 949, 871, 849?
Answer: LCM of 214, 364, 949, 871, 849 is 161729973132.
2. How to calculate the LCM of 214, 364, 949, 871, 849?
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 214, 364, 949, 871, 849.
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}.