Find the LCM of 993, 624, 442, 357 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, 624, 442, 357. So, keep reading to learn more.
Given numbers are 993,624,442,357
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,624,442,357 is 24578736.
Find LCM of 993,624,442,357 with Prime Factorization
2 | 993, 624, 442, 357 |
3 | 993, 312, 221, 357 |
13 | 331, 104, 221, 119 |
17 | 331, 8, 17, 119 |
331, 8, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 17 x 331 x 8 x 1 x 7 = 24578736
Therefore, the lowest common multiple of 993,624,442,357 is 24578736.
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 624 x 442 x 357 = 97774211808
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
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
442 : 1, 2, 13, 17, 26, 34, 221, 442
357 : 1, 3, 7, 17, 21, 51, 119, 357
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,624,442,357, is 1.
Now, the common factors can be found like this.
993:3x 331
624:2x 2x 2x 2x 3x 13
442:2x 13x 17
357:3x 7x 17
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 13x 17 = 3978
Therefore, the value for common factors is 3978.
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 = 97774211808/(1x3978)
LCM = 97774211808/3978
LCM = 24578736
Thus, we can understand that the LCM of 993,624,442,357 is 24578736.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 993, 624, 442, 357?
Answer: LCM of 993, 624, 442, 357 is 24578736.
2. How to calculate the LCM of 993, 624, 442, 357?
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, 624, 442, 357.
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}.