LCM of 816, 257, 507, 430
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 816, 257, 507, 430 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 816, 257, 507, 430. So, keep reading to learn more.
Given numbers are 816,257,507,430
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,257,507,430 is 7619885520.
Find LCM of 816,257,507,430 with Prime Factorization
| 2 | 816, 257, 507, 430 |
| 3 | 408, 257, 507, 215 |
| 136, 257, 169, 215 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 136 x 257 x 169 x 215 = 7619885520
Therefore, the lowest common multiple of 816,257,507,430 is 7619885520.
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.
816 x 257 x 507 x 430 = 45719313120
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.
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
257 : 1, 257
507 : 1, 3, 13, 39, 169, 507
430 : 1, 2, 5, 10, 43, 86, 215, 430
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,257,507,430, is 1.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
257:257
507:3x 13x 13
430:2x 5x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 45719313120/(1x6)
LCM = 45719313120/6
LCM = 7619885520
Thus, we can understand that the LCM of 816,257,507,430 is 7619885520.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 816, 257, 507, 430
1. What is the LCM of 816, 257, 507, 430?
Answer: LCM of 816, 257, 507, 430 is 7619885520.
2. How to calculate the LCM of 816, 257, 507, 430?
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 816, 257, 507, 430.
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}.