LCM of 914, 689, 190, 901, 229
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 914, 689, 190, 901, 229 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 914, 689, 190, 901, 229. So, keep reading to learn more.
Given numbers are 914,689,190,901,229
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,689,190,901,229 is 232902111910.
Find LCM of 914,689,190,901,229 with Prime Factorization
| 2 | 914, 689, 190, 901, 229 |
| 53 | 457, 689, 95, 901, 229 |
| 457, 13, 95, 17, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 53 x 457 x 13 x 95 x 17 x 229 = 232902111910
Therefore, the lowest common multiple of 914,689,190,901,229 is 232902111910.
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.
914 x 689 x 190 x 901 x 229 = 24687623862460
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.
914 : 1, 2, 457, 914
689 : 1, 13, 53, 689
190 : 1, 2, 5, 10, 19, 38, 95, 190
901 : 1, 17, 53, 901
229 : 1, 229
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,689,190,901,229, is 1.
Now, the common factors can be found like this.
914:2x 457
689:13x 53
190:2x 5x 19
901:17x 53
229:229
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 53 = 106
Therefore, the value for common factors is 106.
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 = 24687623862460/(1x106)
LCM = 24687623862460/106
LCM = 232902111910
Thus, we can understand that the LCM of 914,689,190,901,229 is 232902111910.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 914, 689, 190, 901, 229
1. What is the LCM of 914, 689, 190, 901, 229?
Answer: LCM of 914, 689, 190, 901, 229 is 232902111910.
2. How to calculate the LCM of 914, 689, 190, 901, 229?
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 914, 689, 190, 901, 229.
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}.