Find the LCM of 990, 504, 591, 637 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 990, 504, 591, 637. So, keep reading to learn more.
Given numbers are 990,504,591,637
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 990,504,591,637 is 496936440.
Find LCM of 990,504,591,637 with Prime Factorization
2 | 990, 504, 591, 637 |
3 | 495, 252, 591, 637 |
3 | 165, 84, 197, 637 |
7 | 55, 28, 197, 637 |
55, 4, 197, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 55 x 4 x 197 x 91 = 496936440
Therefore, the lowest common multiple of 990,504,591,637 is 496936440.
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.
990 x 504 x 591 x 637 = 187841974320
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.
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
591 : 1, 3, 197, 591
637 : 1, 7, 13, 49, 91, 637
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,504,591,637, is 1.
Now, the common factors can be found like this.
990:2x 3x 3x 5x 11
504:2x 2x 2x 3x 3x 7
591:3x 197
637:7x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 7 = 378
Therefore, the value for common factors is 378.
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 = 187841974320/(1x378)
LCM = 187841974320/378
LCM = 496936440
Thus, we can understand that the LCM of 990,504,591,637 is 496936440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 990, 504, 591, 637?
Answer: LCM of 990, 504, 591, 637 is 496936440.
2. How to calculate the LCM of 990, 504, 591, 637?
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 990, 504, 591, 637.
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}.