Find the LCM of 501, 545, 506, 839, 990 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 501, 545, 506, 839, 990. So, keep reading to learn more.
Given numbers are 501,545,506,839,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 501,545,506,839,990 is 347750658090.
Find LCM of 501,545,506,839,990 with Prime Factorization
2 | 501, 545, 506, 839, 990 |
3 | 501, 545, 253, 839, 495 |
5 | 167, 545, 253, 839, 165 |
11 | 167, 109, 253, 839, 33 |
167, 109, 23, 839, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 167 x 109 x 23 x 839 x 3 = 347750658090
Therefore, the lowest common multiple of 501,545,506,839,990 is 347750658090.
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.
501 x 545 x 506 x 839 x 990 = 114757717169700
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.
501 : 1, 3, 167, 501
545 : 1, 5, 109, 545
506 : 1, 2, 11, 22, 23, 46, 253, 506
839 : 1, 839
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 501,545,506,839,990, is 1.
Now, the common factors can be found like this.
501:3x 167
545:5x 109
506:2x 11x 23
839:839
990:2x 3x 3x 5x 11
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 5x 11 = 330
Therefore, the value for common factors is 330.
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 = 114757717169700/(1x330)
LCM = 114757717169700/330
LCM = 347750658090
Thus, we can understand that the LCM of 501,545,506,839,990 is 347750658090.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 501, 545, 506, 839, 990?
Answer: LCM of 501, 545, 506, 839, 990 is 347750658090.
2. How to calculate the LCM of 501, 545, 506, 839, 990?
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 501, 545, 506, 839, 990.
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}.