Find the LCM of 763, 460, 966, 948, 408 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 763, 460, 966, 948, 408. So, keep reading to learn more.
Given numbers are 763,460,966,948,408
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 763,460,966,948,408 is 2828196840.
Find LCM of 763,460,966,948,408 with Prime Factorization
2 | 763, 460, 966, 948, 408 |
2 | 763, 230, 483, 474, 204 |
3 | 763, 115, 483, 237, 102 |
7 | 763, 115, 161, 79, 34 |
23 | 109, 115, 23, 79, 34 |
109, 5, 1, 79, 34 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 23 x 109 x 5 x 1 x 79 x 34 = 2828196840
Therefore, the lowest common multiple of 763,460,966,948,408 is 2828196840.
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.
763 x 460 x 966 x 948 x 408 = 131137831077120
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.
763 : 1, 7, 109, 763
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 763,460,966,948,408, is 1.
Now, the common factors can be found like this.
763:7x 109
460:2x 2x 5x 23
966:2x 3x 7x 23
948:2x 2x 3x 79
408:2x 2x 2x 3x 17
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 3x 3x 7x 23 = 46368
Therefore, the value for common factors is 46368.
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 = 131137831077120/(1x46368)
LCM = 131137831077120/46368
LCM = 2828196840
Thus, we can understand that the LCM of 763,460,966,948,408 is 2828196840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 763, 460, 966, 948, 408?
Answer: LCM of 763, 460, 966, 948, 408 is 2828196840.
2. How to calculate the LCM of 763, 460, 966, 948, 408?
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 763, 460, 966, 948, 408.
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}.