Find the LCM of 990, 767, 501, 726, 338 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, 767, 501, 726, 338. So, keep reading to learn more.
Given numbers are 990,767,501,726,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 990,767,501,726,338 is 18133559730.
Find LCM of 990,767,501,726,338 with Prime Factorization
2 | 990, 767, 501, 726, 338 |
3 | 495, 767, 501, 363, 169 |
11 | 165, 767, 167, 121, 169 |
13 | 15, 767, 167, 11, 169 |
15, 59, 167, 11, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 15 x 59 x 167 x 11 x 13 = 18133559730
Therefore, the lowest common multiple of 990,767,501,726,338 is 18133559730.
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 767 x 501 x 726 x 338 = 93351565490040
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
767 : 1, 13, 59, 767
501 : 1, 3, 167, 501
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
338 : 1, 2, 13, 26, 169, 338
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,767,501,726,338, is 1.
Now, the common factors can be found like this.
990:2x 3x 3x 5x 11
767:13x 59
501:3x 167
726:2x 3x 11x 11
338:2x 13x 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 2x 3x 3x 11x 13 = 5148
Therefore, the value for common factors is 5148.
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 = 93351565490040/(1x5148)
LCM = 93351565490040/5148
LCM = 18133559730
Thus, we can understand that the LCM of 990,767,501,726,338 is 18133559730.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 990, 767, 501, 726, 338?
Answer: LCM of 990, 767, 501, 726, 338 is 18133559730.
2. How to calculate the LCM of 990, 767, 501, 726, 338?
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, 767, 501, 726, 338.
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}.