Find the LCM of 525, 298, 933, 414, 414 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 525, 298, 933, 414, 414. So, keep reading to learn more.
Given numbers are 525,298,933,414,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 525,298,933,414,414 is 3357260550.
Find LCM of 525,298,933,414,414 with Prime Factorization
2 | 525, 298, 933, 414, 414 |
3 | 525, 149, 933, 207, 207 |
3 | 175, 149, 311, 69, 69 |
23 | 175, 149, 311, 23, 23 |
175, 149, 311, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 23 x 175 x 149 x 311 x 1 x 1 = 3357260550
Therefore, the lowest common multiple of 525,298,933,414,414 is 3357260550.
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.
525 x 298 x 933 x 414 x 414 = 25018305618600
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.
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
298 : 1, 2, 149, 298
933 : 1, 3, 311, 933
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 525,298,933,414,414, is 1.
Now, the common factors can be found like this.
525:3x 5x 5x 7
298:2x 149
933:3x 311
414:2x 3x 3x 23
414:2x 3x 3x 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 3x 3x 3x 3x 23 = 7452
Therefore, the value for common factors is 7452.
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 = 25018305618600/(1x7452)
LCM = 25018305618600/7452
LCM = 3357260550
Thus, we can understand that the LCM of 525,298,933,414,414 is 3357260550.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 525, 298, 933, 414, 414?
Answer: LCM of 525, 298, 933, 414, 414 is 3357260550.
2. How to calculate the LCM of 525, 298, 933, 414, 414?
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 525, 298, 933, 414, 414.
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}.