Find the LCM of 364, 988, 201, 244 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 364, 988, 201, 244. So, keep reading to learn more.
Given numbers are 364,988,201,244
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 364,988,201,244 is 84797076.
Find LCM of 364,988,201,244 with Prime Factorization
2 | 364, 988, 201, 244 |
2 | 182, 494, 201, 122 |
13 | 91, 247, 201, 61 |
7, 19, 201, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 7 x 19 x 201 x 61 = 84797076
Therefore, the lowest common multiple of 364,988,201,244 is 84797076.
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.
364 x 988 x 201 x 244 = 17637791808
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.
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
201 : 1, 3, 67, 201
244 : 1, 2, 4, 61, 122, 244
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,988,201,244, is 1.
Now, the common factors can be found like this.
364:2x 2x 7x 13
988:2x 2x 13x 19
201:3x 67
244:2x 2x 61
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 2x 13 = 208
Therefore, the value for common factors is 208.
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 = 17637791808/(1x208)
LCM = 17637791808/208
LCM = 84797076
Thus, we can understand that the LCM of 364,988,201,244 is 84797076.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 364, 988, 201, 244?
Answer: LCM of 364, 988, 201, 244 is 84797076.
2. How to calculate the LCM of 364, 988, 201, 244?
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 364, 988, 201, 244.
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}.