LCM of 714, 311, 869, 209, 284
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 714, 311, 869, 209, 284 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 714, 311, 869, 209, 284. So, keep reading to learn more.
Given numbers are 714,311,869,209,284
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 714,311,869,209,284 is 520619370348.
Find LCM of 714,311,869,209,284 with Prime Factorization
| 2 | 714, 311, 869, 209, 284 |
| 11 | 357, 311, 869, 209, 142 |
| 357, 311, 79, 19, 142 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 357 x 311 x 79 x 19 x 142 = 520619370348
Therefore, the lowest common multiple of 714,311,869,209,284 is 520619370348.
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.
714 x 311 x 869 x 209 x 284 = 11453626147656
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.
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
311 : 1, 311
869 : 1, 11, 79, 869
209 : 1, 11, 19, 209
284 : 1, 2, 4, 71, 142, 284
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,311,869,209,284, is 1.
Now, the common factors can be found like this.
714:2x 3x 7x 17
311:311
869:11x 79
209:11x 19
284:2x 2x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 11453626147656/(1x22)
LCM = 11453626147656/22
LCM = 520619370348
Thus, we can understand that the LCM of 714,311,869,209,284 is 520619370348.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 714, 311, 869, 209, 284
1. What is the LCM of 714, 311, 869, 209, 284?
Answer: LCM of 714, 311, 869, 209, 284 is 520619370348.
2. How to calculate the LCM of 714, 311, 869, 209, 284?
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 714, 311, 869, 209, 284.
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}.