Find the LCM of 792, 407, 517, 925 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 792, 407, 517, 925. So, keep reading to learn more.
Given numbers are 792,407,517,925
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 792,407,517,925 is 34432200.
Find LCM of 792,407,517,925 with Prime Factorization
11 | 792, 407, 517, 925 |
37 | 72, 37, 47, 925 |
72, 1, 47, 25 |
Multiply the prime numbers at the bottom and the left side.
11 x 37 x 72 x 1 x 47 x 25 = 34432200
Therefore, the lowest common multiple of 792,407,517,925 is 34432200.
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.
792 x 407 x 517 x 925 = 154152959400
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.
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
407 : 1, 11, 37, 407
517 : 1, 11, 47, 517
925 : 1, 5, 25, 37, 185, 925
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,407,517,925, is 1.
Now, the common factors can be found like this.
792:2x 2x 2x 3x 3x 11
407:11x 37
517:11x 47
925:5x 5x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11x 37 = 4477
Therefore, the value for common factors is 4477.
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 = 154152959400/(1x4477)
LCM = 154152959400/4477
LCM = 34432200
Thus, we can understand that the LCM of 792,407,517,925 is 34432200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 792, 407, 517, 925?
Answer: LCM of 792, 407, 517, 925 is 34432200.
2. How to calculate the LCM of 792, 407, 517, 925?
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 792, 407, 517, 925.
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}.