Find the LCM of 933, 442, 933, 476, 412 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 933, 442, 933, 476, 412. So, keep reading to learn more.
Given numbers are 933,442,933,476,412
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 933,442,933,476,412 is 594660612.
Find LCM of 933,442,933,476,412 with Prime Factorization
2 | 933, 442, 933, 476, 412 |
2 | 933, 221, 933, 238, 206 |
3 | 933, 221, 933, 119, 103 |
17 | 311, 221, 311, 119, 103 |
311 | 311, 13, 311, 7, 103 |
1, 13, 1, 7, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 311 x 1 x 13 x 1 x 7 x 103 = 594660612
Therefore, the lowest common multiple of 933,442,933,476,412 is 594660612.
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.
933 x 442 x 933 x 476 x 412 = 75455295735456
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.
933 : 1, 3, 311, 933
442 : 1, 2, 13, 17, 26, 34, 221, 442
933 : 1, 3, 311, 933
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
412 : 1, 2, 4, 103, 206, 412
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 933,442,933,476,412, is 1.
Now, the common factors can be found like this.
933:3x 311
442:2x 13x 17
933:3x 311
476:2x 2x 7x 17
412:2x 2x 103
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 17x 311 = 126888
Therefore, the value for common factors is 126888.
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 = 75455295735456/(1x126888)
LCM = 75455295735456/126888
LCM = 594660612
Thus, we can understand that the LCM of 933,442,933,476,412 is 594660612.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 933, 442, 933, 476, 412?
Answer: LCM of 933, 442, 933, 476, 412 is 594660612.
2. How to calculate the LCM of 933, 442, 933, 476, 412?
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 933, 442, 933, 476, 412.
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}.