Find the LCM of 833, 782, 414, 428, 201 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 833, 782, 414, 428, 201. So, keep reading to learn more.
Given numbers are 833,782,414,428,201
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 833,782,414,428,201 is 4944631356.
Find LCM of 833,782,414,428,201 with Prime Factorization
2 | 833, 782, 414, 428, 201 |
3 | 833, 391, 207, 214, 201 |
17 | 833, 391, 69, 214, 67 |
23 | 49, 23, 69, 214, 67 |
49, 1, 3, 214, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 23 x 49 x 1 x 3 x 214 x 67 = 4944631356
Therefore, the lowest common multiple of 833,782,414,428,201 is 4944631356.
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.
833 x 782 x 414 x 428 x 201 = 23200210322352
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.
833 : 1, 7, 17, 49, 119, 833
782 : 1, 2, 17, 23, 34, 46, 391, 782
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
428 : 1, 2, 4, 107, 214, 428
201 : 1, 3, 67, 201
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 833,782,414,428,201, is 1.
Now, the common factors can be found like this.
833:7x 7x 17
782:2x 17x 23
414:2x 3x 3x 23
428:2x 2x 107
201:3x 67
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 17x 23 = 4692
Therefore, the value for common factors is 4692.
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 = 23200210322352/(1x4692)
LCM = 23200210322352/4692
LCM = 4944631356
Thus, we can understand that the LCM of 833,782,414,428,201 is 4944631356.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 833, 782, 414, 428, 201?
Answer: LCM of 833, 782, 414, 428, 201 is 4944631356.
2. How to calculate the LCM of 833, 782, 414, 428, 201?
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 833, 782, 414, 428, 201.
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}.