Find the LCM of 884, 918, 258, 852, 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 884, 918, 258, 852, 201. So, keep reading to learn more.
Given numbers are 884,918,258,852,201
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,918,258,852,201 is 4882223268.
Find LCM of 884,918,258,852,201 with Prime Factorization
2 | 884, 918, 258, 852, 201 |
2 | 442, 459, 129, 426, 201 |
3 | 221, 459, 129, 213, 201 |
17 | 221, 153, 43, 71, 67 |
13, 9, 43, 71, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 13 x 9 x 43 x 71 x 67 = 4882223268
Therefore, the lowest common multiple of 884,918,258,852,201 is 4882223268.
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.
884 x 918 x 258 x 852 x 201 = 35855047680192
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
258 : 1, 2, 3, 6, 43, 86, 129, 258
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
201 : 1, 3, 67, 201
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,918,258,852,201, is 1.
Now, the common factors can be found like this.
884:2x 2x 13x 17
918:2x 3x 3x 3x 17
258:2x 3x 43
852:2x 2x 3x 71
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 2x 2x 3x 3x 3x 17 = 7344
Therefore, the value for common factors is 7344.
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 = 35855047680192/(1x7344)
LCM = 35855047680192/7344
LCM = 4882223268
Thus, we can understand that the LCM of 884,918,258,852,201 is 4882223268.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 884, 918, 258, 852, 201?
Answer: LCM of 884, 918, 258, 852, 201 is 4882223268.
2. How to calculate the LCM of 884, 918, 258, 852, 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 884, 918, 258, 852, 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}.