LCM of 439, 329, 564, 488, 156
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 439, 329, 564, 488, 156 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 439, 329, 564, 488, 156. So, keep reading to learn more.
Given numbers are 439,329,564,488,156
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 439,329,564,488,156 is 2748810792.
Find LCM of 439,329,564,488,156 with Prime Factorization
| 2 | 439, 329, 564, 488, 156 |
| 2 | 439, 329, 282, 244, 78 |
| 3 | 439, 329, 141, 122, 39 |
| 47 | 439, 329, 47, 122, 13 |
| 439, 7, 1, 122, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 47 x 439 x 7 x 1 x 122 x 13 = 2748810792
Therefore, the lowest common multiple of 439,329,564,488,156 is 2748810792.
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.
439 x 329 x 564 x 488 x 156 = 6201317146752
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.
439 : 1, 439
329 : 1, 7, 47, 329
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
488 : 1, 2, 4, 8, 61, 122, 244, 488
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 439,329,564,488,156, is 1.
Now, the common factors can be found like this.
439:439
329:7x 47
564:2x 2x 3x 47
488:2x 2x 2x 61
156:2x 2x 3x 13
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 47 = 2256
Therefore, the value for common factors is 2256.
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 = 6201317146752/(1x2256)
LCM = 6201317146752/2256
LCM = 2748810792
Thus, we can understand that the LCM of 439,329,564,488,156 is 2748810792.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 439, 329, 564, 488, 156
1. What is the LCM of 439, 329, 564, 488, 156?
Answer: LCM of 439, 329, 564, 488, 156 is 2748810792.
2. How to calculate the LCM of 439, 329, 564, 488, 156?
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 439, 329, 564, 488, 156.
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}.