Find the LCM of 775, 529, 407, 125, 426 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 775, 529, 407, 125, 426. So, keep reading to learn more.
Given numbers are 775,529,407,125,426
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 775,529,407,125,426 is 355411427250.
Find LCM of 775,529,407,125,426 with Prime Factorization
5 | 775, 529, 407, 125, 426 |
5 | 155, 529, 407, 25, 426 |
31, 529, 407, 5, 426 |
Multiply the prime numbers at the bottom and the left side.
5 x 5 x 31 x 529 x 407 x 5 x 426 = 355411427250
Therefore, the lowest common multiple of 775,529,407,125,426 is 355411427250.
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.
775 x 529 x 407 x 125 x 426 = 8885285681250
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.
775 : 1, 5, 25, 31, 155, 775
529 : 1, 23, 529
407 : 1, 11, 37, 407
125 : 1, 5, 25, 125
426 : 1, 2, 3, 6, 71, 142, 213, 426
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 775,529,407,125,426, is 1.
Now, the common factors can be found like this.
775:5x 5x 31
529:23x 23
407:11x 37
125:5x 5x 5
426:2x 3x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5 = 25
Therefore, the value for common factors is 25.
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 = 8885285681250/(1x25)
LCM = 8885285681250/25
LCM = 355411427250
Thus, we can understand that the LCM of 775,529,407,125,426 is 355411427250.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 775, 529, 407, 125, 426?
Answer: LCM of 775, 529, 407, 125, 426 is 355411427250.
2. How to calculate the LCM of 775, 529, 407, 125, 426?
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 775, 529, 407, 125, 426.
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}.