LCM of 848, 692, 816, 447, 463
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 848, 692, 816, 447, 463 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 848, 692, 816, 447, 463. So, keep reading to learn more.
Given numbers are 848,692,816,447,463
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 848,692,816,447,463 is 516154111248.
Find LCM of 848,692,816,447,463 with Prime Factorization
| 2 | 848, 692, 816, 447, 463 |
| 2 | 424, 346, 408, 447, 463 |
| 2 | 212, 173, 204, 447, 463 |
| 2 | 106, 173, 102, 447, 463 |
| 3 | 53, 173, 51, 447, 463 |
| 53, 173, 17, 149, 463 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 53 x 173 x 17 x 149 x 463 = 516154111248
Therefore, the lowest common multiple of 848,692,816,447,463 is 516154111248.
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.
848 x 692 x 816 x 447 x 463 = 99101589359616
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.
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
692 : 1, 2, 4, 173, 346, 692
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
447 : 1, 3, 149, 447
463 : 1, 463
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 848,692,816,447,463, is 1.
Now, the common factors can be found like this.
848:2x 2x 2x 2x 53
692:2x 2x 173
816:2x 2x 2x 2x 3x 17
447:3x 149
463:463
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 2x 2x 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 99101589359616/(1x192)
LCM = 99101589359616/192
LCM = 516154111248
Thus, we can understand that the LCM of 848,692,816,447,463 is 516154111248.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 848, 692, 816, 447, 463
1. What is the LCM of 848, 692, 816, 447, 463?
Answer: LCM of 848, 692, 816, 447, 463 is 516154111248.
2. How to calculate the LCM of 848, 692, 816, 447, 463?
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 848, 692, 816, 447, 463.
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}.