LCM of 442, 144, 588, 656, 678
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 442, 144, 588, 656, 678 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 442, 144, 588, 656, 678. So, keep reading to learn more.
Given numbers are 442,144,588,656,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,144,588,656,678 is 7224589008.
Find LCM of 442,144,588,656,678 with Prime Factorization
| 2 | 442, 144, 588, 656, 678 |
| 2 | 221, 72, 294, 328, 339 |
| 2 | 221, 36, 147, 164, 339 |
| 2 | 221, 18, 147, 82, 339 |
| 3 | 221, 9, 147, 41, 339 |
| 221, 3, 49, 41, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 221 x 3 x 49 x 41 x 113 = 7224589008
Therefore, the lowest common multiple of 442,144,588,656,678 is 7224589008.
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.
442 x 144 x 588 x 656 x 678 = 16645453074432
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.
442 : 1, 2, 13, 17, 26, 34, 221, 442
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
678 : 1, 2, 3, 6, 113, 226, 339, 678
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,144,588,656,678, is 2.
Now, the common factors can be found like this.
442:2x 13x 17
144:2x 2x 2x 2x 3x 3
588:2x 2x 3x 7x 7
656:2x 2x 2x 2x 41
678:2x 3x 113
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 2x 2x 2x 3x 3 = 1152
Therefore, the value for common factors is 1152.
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 = 16645453074432/(2x1152)
LCM = 16645453074432/2304
LCM = 7224589008
Thus, we can understand that the LCM of 442,144,588,656,678 is 7224589008.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 442, 144, 588, 656, 678
1. What is the LCM of 442, 144, 588, 656, 678?
Answer: LCM of 442, 144, 588, 656, 678 is 7224589008.
2. How to calculate the LCM of 442, 144, 588, 656, 678?
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 442, 144, 588, 656, 678.
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}.