LCM of 344, 754, 214, 986, 127
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 344, 754, 214, 986, 127 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 344, 754, 214, 986, 127. So, keep reading to learn more.
Given numbers are 344,754,214,986,127
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 344,754,214,986,127 is 29959613944.
Find LCM of 344,754,214,986,127 with Prime Factorization
| 2 | 344, 754, 214, 986, 127 |
| 29 | 172, 377, 107, 493, 127 |
| 172, 13, 107, 17, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 29 x 172 x 13 x 107 x 17 x 127 = 29959613944
Therefore, the lowest common multiple of 344,754,214,986,127 is 29959613944.
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.
344 x 754 x 214 x 986 x 127 = 6950630435008
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.
344 : 1, 2, 4, 8, 43, 86, 172, 344
754 : 1, 2, 13, 26, 29, 58, 377, 754
214 : 1, 2, 107, 214
986 : 1, 2, 17, 29, 34, 58, 493, 986
127 : 1, 127
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,754,214,986,127, is 1.
Now, the common factors can be found like this.
344:2x 2x 2x 43
754:2x 13x 29
214:2x 107
986:2x 17x 29
127:127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 29 = 232
Therefore, the value for common factors is 232.
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 = 6950630435008/(1x232)
LCM = 6950630435008/232
LCM = 29959613944
Thus, we can understand that the LCM of 344,754,214,986,127 is 29959613944.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 344, 754, 214, 986, 127
1. What is the LCM of 344, 754, 214, 986, 127?
Answer: LCM of 344, 754, 214, 986, 127 is 29959613944.
2. How to calculate the LCM of 344, 754, 214, 986, 127?
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 344, 754, 214, 986, 127.
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}.