LCM of 699, 802, 802, 192
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 699, 802, 802, 192 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 699, 802, 802, 192. So, keep reading to learn more.
Given numbers are 699,802,802,192
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 699,802,802,192 is 17939136.
Find LCM of 699,802,802,192 with Prime Factorization
| 2 | 699, 802, 802, 192 |
| 3 | 699, 401, 401, 96 |
| 401 | 233, 401, 401, 32 |
| 233, 1, 1, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 401 x 233 x 1 x 1 x 32 = 17939136
Therefore, the lowest common multiple of 699,802,802,192 is 17939136.
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.
699 x 802 x 802 x 192 = 86323122432
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.
699 : 1, 3, 233, 699
802 : 1, 2, 401, 802
802 : 1, 2, 401, 802
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 699,802,802,192, is 1.
Now, the common factors can be found like this.
699:3x 233
802:2x 401
802:2x 401
192:2x 2x 2x 2x 2x 2x 3
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 3x 401 = 4812
Therefore, the value for common factors is 4812.
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 = 86323122432/(1x4812)
LCM = 86323122432/4812
LCM = 17939136
Thus, we can understand that the LCM of 699,802,802,192 is 17939136.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 699, 802, 802, 192
1. What is the LCM of 699, 802, 802, 192?
Answer: LCM of 699, 802, 802, 192 is 17939136.
2. How to calculate the LCM of 699, 802, 802, 192?
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 699, 802, 802, 192.
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}.