LCM of 336, 780, 403, 814
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 336, 780, 403, 814 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 336, 780, 403, 814. So, keep reading to learn more.
Given numbers are 336,780,403,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 336,780,403,814 is 275555280.
Find LCM of 336,780,403,814 with Prime Factorization
| 2 | 336, 780, 403, 814 |
| 2 | 168, 390, 403, 407 |
| 3 | 84, 195, 403, 407 |
| 13 | 28, 65, 403, 407 |
| 28, 5, 31, 407 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 28 x 5 x 31 x 407 = 275555280
Therefore, the lowest common multiple of 336,780,403,814 is 275555280.
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.
336 x 780 x 403 x 814 = 85973247360
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.
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
403 : 1, 13, 31, 403
814 : 1, 2, 11, 22, 37, 74, 407, 814
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,780,403,814, is 1.
Now, the common factors can be found like this.
336:2x 2x 2x 2x 3x 7
780:2x 2x 3x 5x 13
403:13x 31
814:2x 11x 37
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 3x 13 = 312
Therefore, the value for common factors is 312.
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 = 85973247360/(1x312)
LCM = 85973247360/312
LCM = 275555280
Thus, we can understand that the LCM of 336,780,403,814 is 275555280.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 336, 780, 403, 814
1. What is the LCM of 336, 780, 403, 814?
Answer: LCM of 336, 780, 403, 814 is 275555280.
2. How to calculate the LCM of 336, 780, 403, 814?
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 336, 780, 403, 814.
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}.