Find the LCM of 993, 854, 506, 474, 690 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 993, 854, 506, 474, 690. So, keep reading to learn more.
Given numbers are 993,854,506,474,690
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,854,506,474,690 is 84747078570.
Find LCM of 993,854,506,474,690 with Prime Factorization
2 | 993, 854, 506, 474, 690 |
3 | 993, 427, 253, 237, 345 |
23 | 331, 427, 253, 79, 115 |
331, 427, 11, 79, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 331 x 427 x 11 x 79 x 5 = 84747078570
Therefore, the lowest common multiple of 993,854,506,474,690 is 84747078570.
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.
993 x 854 x 506 x 474 x 690 = 140341162111920
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.
993 : 1, 3, 331, 993
854 : 1, 2, 7, 14, 61, 122, 427, 854
506 : 1, 2, 11, 22, 23, 46, 253, 506
474 : 1, 2, 3, 6, 79, 158, 237, 474
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,854,506,474,690, is 1.
Now, the common factors can be found like this.
993:3x 331
854:2x 7x 61
506:2x 11x 23
474:2x 3x 79
690:2x 3x 5x 23
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 2x 3x 3x 23 = 1656
Therefore, the value for common factors is 1656.
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 = 140341162111920/(1x1656)
LCM = 140341162111920/1656
LCM = 84747078570
Thus, we can understand that the LCM of 993,854,506,474,690 is 84747078570.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 993, 854, 506, 474, 690?
Answer: LCM of 993, 854, 506, 474, 690 is 84747078570.
2. How to calculate the LCM of 993, 854, 506, 474, 690?
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 993, 854, 506, 474, 690.
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}.