LCM of 358, 420, 695, 429, 819
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 358, 420, 695, 429, 819 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 358, 420, 695, 429, 819. So, keep reading to learn more.
Given numbers are 358,420,695,429,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 358,420,695,429,819 is 4483058580.
Find LCM of 358,420,695,429,819 with Prime Factorization
| 2 | 358, 420, 695, 429, 819 |
| 3 | 179, 210, 695, 429, 819 |
| 5 | 179, 70, 695, 143, 273 |
| 7 | 179, 14, 139, 143, 273 |
| 13 | 179, 2, 139, 143, 39 |
| 179, 2, 139, 11, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 13 x 179 x 2 x 139 x 11 x 3 = 4483058580
Therefore, the lowest common multiple of 358,420,695,429,819 is 4483058580.
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.
358 x 420 x 695 x 429 x 819 = 36716249770200
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.
358 : 1, 2, 179, 358
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
695 : 1, 5, 139, 695
429 : 1, 3, 11, 13, 33, 39, 143, 429
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,420,695,429,819, is 1.
Now, the common factors can be found like this.
358:2x 179
420:2x 2x 3x 5x 7
695:5x 139
429:3x 11x 13
819:3x 3x 7x 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 3x 5x 7x 13 = 8190
Therefore, the value for common factors is 8190.
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 = 36716249770200/(1x8190)
LCM = 36716249770200/8190
LCM = 4483058580
Thus, we can understand that the LCM of 358,420,695,429,819 is 4483058580.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 358, 420, 695, 429, 819
1. What is the LCM of 358, 420, 695, 429, 819?
Answer: LCM of 358, 420, 695, 429, 819 is 4483058580.
2. How to calculate the LCM of 358, 420, 695, 429, 819?
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 358, 420, 695, 429, 819.
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}.