Find the LCM of 201, 642, 196, 282 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 201, 642, 196, 282. So, keep reading to learn more.
Given numbers are 201,642,196,282
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 201,642,196,282 is 198122484.
Find LCM of 201,642,196,282 with Prime Factorization
2 | 201, 642, 196, 282 |
3 | 201, 321, 98, 141 |
67, 107, 98, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 67 x 107 x 98 x 47 = 198122484
Therefore, the lowest common multiple of 201,642,196,282 is 198122484.
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.
201 x 642 x 196 x 282 = 7132409424
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.
201 : 1, 3, 67, 201
642 : 1, 2, 3, 6, 107, 214, 321, 642
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
282 : 1, 2, 3, 6, 47, 94, 141, 282
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,642,196,282, is 1.
Now, the common factors can be found like this.
201:3x 67
642:2x 3x 107
196:2x 2x 7x 7
282:2x 3x 47
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 3 = 36
Therefore, the value for common factors is 36.
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 = 7132409424/(1x36)
LCM = 7132409424/36
LCM = 198122484
Thus, we can understand that the LCM of 201,642,196,282 is 198122484.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 201, 642, 196, 282?
Answer: LCM of 201, 642, 196, 282 is 198122484.
2. How to calculate the LCM of 201, 642, 196, 282?
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 201, 642, 196, 282.
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}.