LCM of 214, 903, 946, 195
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 214, 903, 946, 195 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, 903, 946, 195. So, keep reading to learn more.
Given numbers are 214,903,946,195
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 214,903,946,195 is 138168030.
Find LCM of 214,903,946,195 with Prime Factorization
| 2 | 214, 903, 946, 195 |
| 3 | 107, 903, 473, 195 |
| 43 | 107, 301, 473, 65 |
| 107, 7, 11, 65 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 43 x 107 x 7 x 11 x 65 = 138168030
Therefore, the lowest common multiple of 214,903,946,195 is 138168030.
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 903 x 946 x 195 = 35647351740
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
903 : 1, 3, 7, 21, 43, 129, 301, 903
946 : 1, 2, 11, 22, 43, 86, 473, 946
195 : 1, 3, 5, 13, 15, 39, 65, 195
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,903,946,195, is 1.
Now, the common factors can be found like this.
214:2x 107
903:3x 7x 43
946:2x 11x 43
195:3x 5x 13
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 43 = 258
Therefore, the value for common factors is 258.
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 = 35647351740/(1x258)
LCM = 35647351740/258
LCM = 138168030
Thus, we can understand that the LCM of 214,903,946,195 is 138168030.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 214, 903, 946, 195
1. What is the LCM of 214, 903, 946, 195?
Answer: LCM of 214, 903, 946, 195 is 138168030.
2. How to calculate the LCM of 214, 903, 946, 195?
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, 903, 946, 195.
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}.