Find the LCM of 984, 533, 322, 884 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 984, 533, 322, 884. So, keep reading to learn more.
Given numbers are 984,533,322,884
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 984,533,322,884 is 35011704.
Find LCM of 984,533,322,884 with Prime Factorization
2 | 984, 533, 322, 884 |
2 | 492, 533, 161, 442 |
13 | 246, 533, 161, 221 |
41 | 246, 41, 161, 17 |
6, 1, 161, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 41 x 6 x 1 x 161 x 17 = 35011704
Therefore, the lowest common multiple of 984,533,322,884 is 35011704.
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.
984 x 533 x 322 x 884 = 149289905856
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.
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
533 : 1, 13, 41, 533
322 : 1, 2, 7, 14, 23, 46, 161, 322
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,533,322,884, is 1.
Now, the common factors can be found like this.
984:2x 2x 2x 3x 41
533:13x 41
322:2x 7x 23
884:2x 2x 13x 17
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 13x 41 = 4264
Therefore, the value for common factors is 4264.
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 = 149289905856/(1x4264)
LCM = 149289905856/4264
LCM = 35011704
Thus, we can understand that the LCM of 984,533,322,884 is 35011704.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 984, 533, 322, 884?
Answer: LCM of 984, 533, 322, 884 is 35011704.
2. How to calculate the LCM of 984, 533, 322, 884?
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 984, 533, 322, 884.
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}.