Find the LCM of 433, 262, 530, 655 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 433, 262, 530, 655. So, keep reading to learn more.
Given numbers are 433,262,530,655
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 433,262,530,655 is 30063190.
Find LCM of 433,262,530,655 with Prime Factorization
2 | 433, 262, 530, 655 |
5 | 433, 131, 265, 655 |
131 | 433, 131, 53, 131 |
433, 1, 53, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 131 x 433 x 1 x 53 x 1 = 30063190
Therefore, the lowest common multiple of 433,262,530,655 is 30063190.
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.
433 x 262 x 530 x 655 = 39382778900
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.
433 : 1, 433
262 : 1, 2, 131, 262
530 : 1, 2, 5, 10, 53, 106, 265, 530
655 : 1, 5, 131, 655
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 433,262,530,655, is 1.
Now, the common factors can be found like this.
433:433
262:2x 131
530:2x 5x 53
655:5x 131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 131 = 1310
Therefore, the value for common factors is 1310.
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 = 39382778900/(1x1310)
LCM = 39382778900/1310
LCM = 30063190
Thus, we can understand that the LCM of 433,262,530,655 is 30063190.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 433, 262, 530, 655?
Answer: LCM of 433, 262, 530, 655 is 30063190.
2. How to calculate the LCM of 433, 262, 530, 655?
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 433, 262, 530, 655.
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}.