LCM of 323, 810, 392, 644, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 323, 810, 392, 644, 946 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 323, 810, 392, 644, 946. So, keep reading to learn more.
Given numbers are 323,810,392,644,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 323,810,392,644,946 is 557869462920.
Find LCM of 323,810,392,644,946 with Prime Factorization
| 2 | 323, 810, 392, 644, 946 |
| 2 | 323, 405, 196, 322, 473 |
| 7 | 323, 405, 98, 161, 473 |
| 323, 405, 14, 23, 473 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 323 x 405 x 14 x 23 x 473 = 557869462920
Therefore, the lowest common multiple of 323,810,392,644,946 is 557869462920.
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.
323 x 810 x 392 x 644 x 946 = 62481379847040
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.
323 : 1, 17, 19, 323
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,810,392,644,946, is 1.
Now, the common factors can be found like this.
323:17x 19
810:2x 3x 3x 3x 3x 5
392:2x 2x 2x 7x 7
644:2x 2x 7x 23
946:2x 11x 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 2x 2x 2x 7 = 112
Therefore, the value for common factors is 112.
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 = 62481379847040/(1x112)
LCM = 62481379847040/112
LCM = 557869462920
Thus, we can understand that the LCM of 323,810,392,644,946 is 557869462920.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 323, 810, 392, 644, 946
1. What is the LCM of 323, 810, 392, 644, 946?
Answer: LCM of 323, 810, 392, 644, 946 is 557869462920.
2. How to calculate the LCM of 323, 810, 392, 644, 946?
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 323, 810, 392, 644, 946.
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}.