Find the LCM of 823, 823, 376, 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 823, 823, 376, 946. So, keep reading to learn more.
Given numbers are 823,823,376,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 823,823,376,946 is 146368904.
Find LCM of 823,823,376,946 with Prime Factorization
2 | 823, 823, 376, 946 |
823 | 823, 823, 188, 473 |
1, 1, 188, 473 |
Multiply the prime numbers at the bottom and the left side.
2 x 823 x 1 x 1 x 188 x 473 = 146368904
Therefore, the lowest common multiple of 823,823,376,946 is 146368904.
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.
823 x 823 x 376 x 946 = 240923215984
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.
823 : 1, 823
823 : 1, 823
376 : 1, 2, 4, 8, 47, 94, 188, 376
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 823,823,376,946, is 1.
Now, the common factors can be found like this.
823:823
823:823
376:2x 2x 2x 47
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 823 = 1646
Therefore, the value for common factors is 1646.
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 = 240923215984/(1x1646)
LCM = 240923215984/1646
LCM = 146368904
Thus, we can understand that the LCM of 823,823,376,946 is 146368904.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 823, 823, 376, 946?
Answer: LCM of 823, 823, 376, 946 is 146368904.
2. How to calculate the LCM of 823, 823, 376, 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 823, 823, 376, 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}.