LCM of 442, 597, 815, 631, 544
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 442, 597, 815, 631, 544 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, 597, 815, 631, 544. So, keep reading to learn more.
Given numbers are 442,597,815,631,544
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,597,815,631,544 is 2171218601760.
Find LCM of 442,597,815,631,544 with Prime Factorization
| 2 | 442, 597, 815, 631, 544 |
| 17 | 221, 597, 815, 631, 272 |
| 13, 597, 815, 631, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 13 x 597 x 815 x 631 x 16 = 2171218601760
Therefore, the lowest common multiple of 442,597,815,631,544 is 2171218601760.
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 597 x 815 x 631 x 544 = 73821432459840
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
597 : 1, 3, 199, 597
815 : 1, 5, 163, 815
631 : 1, 631
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,597,815,631,544, is 1.
Now, the common factors can be found like this.
442:2x 13x 17
597:3x 199
815:5x 163
631:631
544:2x 2x 2x 2x 2x 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 17 = 34
Therefore, the value for common factors is 34.
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 = 73821432459840/(1x34)
LCM = 73821432459840/34
LCM = 2171218601760
Thus, we can understand that the LCM of 442,597,815,631,544 is 2171218601760.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 442, 597, 815, 631, 544
1. What is the LCM of 442, 597, 815, 631, 544?
Answer: LCM of 442, 597, 815, 631, 544 is 2171218601760.
2. How to calculate the LCM of 442, 597, 815, 631, 544?
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, 597, 815, 631, 544.
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}.