LCM of 310, 505, 498, 514
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 310, 505, 498, 514 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 310, 505, 498, 514. So, keep reading to learn more.
Given numbers are 310,505,498,514
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 310,505,498,514 is 2003620830.
Find LCM of 310,505,498,514 with Prime Factorization
| 2 | 310, 505, 498, 514 |
| 5 | 155, 505, 249, 257 |
| 31, 101, 249, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 31 x 101 x 249 x 257 = 2003620830
Therefore, the lowest common multiple of 310,505,498,514 is 2003620830.
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.
310 x 505 x 498 x 514 = 40072416600
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.
310 : 1, 2, 5, 10, 31, 62, 155, 310
505 : 1, 5, 101, 505
498 : 1, 2, 3, 6, 83, 166, 249, 498
514 : 1, 2, 257, 514
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,505,498,514, is 1.
Now, the common factors can be found like this.
310:2x 5x 31
505:5x 101
498:2x 3x 83
514:2x 257
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 5 = 20
Therefore, the value for common factors is 20.
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 = 40072416600/(1x20)
LCM = 40072416600/20
LCM = 2003620830
Thus, we can understand that the LCM of 310,505,498,514 is 2003620830.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 310, 505, 498, 514
1. What is the LCM of 310, 505, 498, 514?
Answer: LCM of 310, 505, 498, 514 is 2003620830.
2. How to calculate the LCM of 310, 505, 498, 514?
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 310, 505, 498, 514.
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}.