Find the LCM of 407, 530, 826, 942, 361 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 407, 530, 826, 942, 361. So, keep reading to learn more.
Given numbers are 407,530,826,942,361
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 407,530,826,942,361 is 15147760835130.
Find LCM of 407,530,826,942,361 with Prime Factorization
2 | 407, 530, 826, 942, 361 |
407, 265, 413, 471, 361 |
Multiply the prime numbers at the bottom and the left side.
2 x 407 x 265 x 413 x 471 x 361 = 15147760835130
Therefore, the lowest common multiple of 407,530,826,942,361 is 15147760835130.
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.
407 x 530 x 826 x 942 x 361 = 60591043340520
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.
407 : 1, 11, 37, 407
530 : 1, 2, 5, 10, 53, 106, 265, 530
826 : 1, 2, 7, 14, 59, 118, 413, 826
942 : 1, 2, 3, 6, 157, 314, 471, 942
361 : 1, 19, 361
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,530,826,942,361, is 1.
Now, the common factors can be found like this.
407:11x 37
530:2x 5x 53
826:2x 7x 59
942:2x 3x 157
361:19x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 60591043340520/(1x4)
LCM = 60591043340520/4
LCM = 15147760835130
Thus, we can understand that the LCM of 407,530,826,942,361 is 15147760835130.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 407, 530, 826, 942, 361?
Answer: LCM of 407, 530, 826, 942, 361 is 15147760835130.
2. How to calculate the LCM of 407, 530, 826, 942, 361?
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 407, 530, 826, 942, 361.
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}.