Find the LCM of 524, 563, 469, 393, 737 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 524, 563, 469, 393, 737. So, keep reading to learn more.
Given numbers are 524,563,469,393,737
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 524,563,469,393,737 is 4565900724.
Find LCM of 524,563,469,393,737 with Prime Factorization
67 | 524, 563, 469, 393, 737 |
131 | 524, 563, 7, 393, 11 |
4, 563, 7, 3, 11 |
Multiply the prime numbers at the bottom and the left side.
67 x 131 x 4 x 563 x 7 x 3 x 11 = 4565900724
Therefore, the lowest common multiple of 524,563,469,393,737 is 4565900724.
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.
524 x 563 x 469 x 393 x 737 = 40074910654548
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.
524 : 1, 2, 4, 131, 262, 524
563 : 1, 563
469 : 1, 7, 67, 469
393 : 1, 3, 131, 393
737 : 1, 11, 67, 737
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,563,469,393,737, is 1.
Now, the common factors can be found like this.
524:2x 2x 131
563:563
469:7x 67
393:3x 131
737:11x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
67x 131 = 8777
Therefore, the value for common factors is 8777.
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 = 40074910654548/(1x8777)
LCM = 40074910654548/8777
LCM = 4565900724
Thus, we can understand that the LCM of 524,563,469,393,737 is 4565900724.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 524, 563, 469, 393, 737?
Answer: LCM of 524, 563, 469, 393, 737 is 4565900724.
2. How to calculate the LCM of 524, 563, 469, 393, 737?
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 524, 563, 469, 393, 737.
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}.