Find the LCM of 923, 507, 451, 390, 392 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 923, 507, 451, 390, 392. So, keep reading to learn more.
Given numbers are 923,507,451,390,392
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 923,507,451,390,392 is 31819908120.
Find LCM of 923,507,451,390,392 with Prime Factorization
2 | 923, 507, 451, 390, 392 |
3 | 923, 507, 451, 195, 196 |
13 | 923, 169, 451, 65, 196 |
71, 13, 451, 5, 196 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 71 x 13 x 451 x 5 x 196 = 31819908120
Therefore, the lowest common multiple of 923,507,451,390,392 is 31819908120.
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.
923 x 507 x 451 x 390 x 392 = 32265386833680
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.
923 : 1, 13, 71, 923
507 : 1, 3, 13, 39, 169, 507
451 : 1, 11, 41, 451
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,507,451,390,392, is 1.
Now, the common factors can be found like this.
923:13x 71
507:3x 13x 13
451:11x 41
390:2x 3x 5x 13
392:2x 2x 2x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 13x 13 = 1014
Therefore, the value for common factors is 1014.
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 = 32265386833680/(1x1014)
LCM = 32265386833680/1014
LCM = 31819908120
Thus, we can understand that the LCM of 923,507,451,390,392 is 31819908120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 923, 507, 451, 390, 392?
Answer: LCM of 923, 507, 451, 390, 392 is 31819908120.
2. How to calculate the LCM of 923, 507, 451, 390, 392?
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 923, 507, 451, 390, 392.
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}.