Find the LCM of 107, 748, 368, 460, 923 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 107, 748, 368, 460, 923. So, keep reading to learn more.
Given numbers are 107,748,368,460,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 107,748,368,460,923 is 33981684880.
Find LCM of 107,748,368,460,923 with Prime Factorization
2 | 107, 748, 368, 460, 923 |
2 | 107, 374, 184, 230, 923 |
23 | 107, 187, 92, 115, 923 |
107, 187, 4, 5, 923 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 107 x 187 x 4 x 5 x 923 = 33981684880
Therefore, the lowest common multiple of 107,748,368,460,923 is 33981684880.
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.
107 x 748 x 368 x 460 x 923 = 12505260035840
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.
107 : 1, 107
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,748,368,460,923, is 1.
Now, the common factors can be found like this.
107:107
748:2x 2x 11x 17
368:2x 2x 2x 2x 23
460:2x 2x 5x 23
923:13x 71
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 23 = 368
Therefore, the value for common factors is 368.
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 = 12505260035840/(1x368)
LCM = 12505260035840/368
LCM = 33981684880
Thus, we can understand that the LCM of 107,748,368,460,923 is 33981684880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 107, 748, 368, 460, 923?
Answer: LCM of 107, 748, 368, 460, 923 is 33981684880.
2. How to calculate the LCM of 107, 748, 368, 460, 923?
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 107, 748, 368, 460, 923.
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}.