Find the LCM of 159, 306, 166, 506, 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 159, 306, 166, 506, 884. So, keep reading to learn more.
Given numbers are 159,306,166,506,884
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 159,306,166,506,884 is 8854606332.
Find LCM of 159,306,166,506,884 with Prime Factorization
2 | 159, 306, 166, 506, 884 |
3 | 159, 153, 83, 253, 442 |
17 | 53, 51, 83, 253, 442 |
53, 3, 83, 253, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 53 x 3 x 83 x 253 x 26 = 8854606332
Therefore, the lowest common multiple of 159,306,166,506,884 is 8854606332.
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.
159 x 306 x 166 x 506 x 884 = 3612679383456
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.
159 : 1, 3, 53, 159
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
166 : 1, 2, 83, 166
506 : 1, 2, 11, 22, 23, 46, 253, 506
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 159,306,166,506,884, is 1.
Now, the common factors can be found like this.
159:3x 53
306:2x 3x 3x 17
166:2x 83
506:2x 11x 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 3x 17 = 408
Therefore, the value for common factors is 408.
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 = 3612679383456/(1x408)
LCM = 3612679383456/408
LCM = 8854606332
Thus, we can understand that the LCM of 159,306,166,506,884 is 8854606332.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 159, 306, 166, 506, 884?
Answer: LCM of 159, 306, 166, 506, 884 is 8854606332.
2. How to calculate the LCM of 159, 306, 166, 506, 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 159, 306, 166, 506, 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}.