Find the LCM of 993, 510, 363, 442, 756 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, 510, 363, 442, 756. So, keep reading to learn more.
Given numbers are 993,510,363,442,756
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,510,363,442,756 is 33457804380.
Find LCM of 993,510,363,442,756 with Prime Factorization
2 | 993, 510, 363, 442, 756 |
3 | 993, 255, 363, 221, 378 |
17 | 331, 85, 121, 221, 126 |
331, 5, 121, 13, 126 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 331 x 5 x 121 x 13 x 126 = 33457804380
Therefore, the lowest common multiple of 993,510,363,442,756 is 33457804380.
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 510 x 363 x 442 x 756 = 61428528841680
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
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
363 : 1, 3, 11, 33, 121, 363
442 : 1, 2, 13, 17, 26, 34, 221, 442
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,510,363,442,756, is 1.
Now, the common factors can be found like this.
993:3x 331
510:2x 3x 5x 17
363:3x 11x 11
442:2x 13x 17
756:2x 2x 3x 3x 3x 7
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 3x 17 = 1836
Therefore, the value for common factors is 1836.
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 = 61428528841680/(1x1836)
LCM = 61428528841680/1836
LCM = 33457804380
Thus, we can understand that the LCM of 993,510,363,442,756 is 33457804380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 993, 510, 363, 442, 756?
Answer: LCM of 993, 510, 363, 442, 756 is 33457804380.
2. How to calculate the LCM of 993, 510, 363, 442, 756?
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, 510, 363, 442, 756.
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}.