LCM of 159, 966, 469, 882
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 159, 966, 469, 882 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, 966, 469, 882. So, keep reading to learn more.
Given numbers are 159,966,469,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 159,966,469,882 is 72035586.
Find LCM of 159,966,469,882 with Prime Factorization
| 2 | 159, 966, 469, 882 |
| 3 | 159, 483, 469, 441 |
| 7 | 53, 161, 469, 147 |
| 53, 23, 67, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 53 x 23 x 67 x 21 = 72035586
Therefore, the lowest common multiple of 159,966,469,882 is 72035586.
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 966 x 469 x 882 = 63535386852
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
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
469 : 1, 7, 67, 469
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 159,966,469,882, is 1.
Now, the common factors can be found like this.
159:3x 53
966:2x 3x 7x 23
469:7x 67
882:2x 3x 3x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7x 7 = 882
Therefore, the value for common factors is 882.
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 = 63535386852/(1x882)
LCM = 63535386852/882
LCM = 72035586
Thus, we can understand that the LCM of 159,966,469,882 is 72035586.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 159, 966, 469, 882
1. What is the LCM of 159, 966, 469, 882?
Answer: LCM of 159, 966, 469, 882 is 72035586.
2. How to calculate the LCM of 159, 966, 469, 882?
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, 966, 469, 882.
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}.