Find the LCM of 481, 494, 505, 653 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 481, 494, 505, 653. So, keep reading to learn more.
Given numbers are 481,494,505,653
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 481,494,505,653 is 6027444670.
Find LCM of 481,494,505,653 with Prime Factorization
13 | 481, 494, 505, 653 |
37, 38, 505, 653 |
Multiply the prime numbers at the bottom and the left side.
13 x 37 x 38 x 505 x 653 = 6027444670
Therefore, the lowest common multiple of 481,494,505,653 is 6027444670.
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.
481 x 494 x 505 x 653 = 78356780710
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.
481 : 1, 13, 37, 481
494 : 1, 2, 13, 19, 26, 38, 247, 494
505 : 1, 5, 101, 505
653 : 1, 653
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,494,505,653, is 1.
Now, the common factors can be found like this.
481:13x 37
494:2x 13x 19
505:5x 101
653:653
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 78356780710/(1x13)
LCM = 78356780710/13
LCM = 6027444670
Thus, we can understand that the LCM of 481,494,505,653 is 6027444670.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 481, 494, 505, 653?
Answer: LCM of 481, 494, 505, 653 is 6027444670.
2. How to calculate the LCM of 481, 494, 505, 653?
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 481, 494, 505, 653.
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}.