LCM of 544, 644, 115, 998, 575
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 544, 644, 115, 998, 575 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 544, 644, 115, 998, 575. So, keep reading to learn more.
Given numbers are 544,644,115,998,575
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 544,644,115,998,575 is 1092610400.
Find LCM of 544,644,115,998,575 with Prime Factorization
| 2 | 544, 644, 115, 998, 575 |
| 2 | 272, 322, 115, 499, 575 |
| 5 | 136, 161, 115, 499, 575 |
| 23 | 136, 161, 23, 499, 115 |
| 136, 7, 1, 499, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 23 x 136 x 7 x 1 x 499 x 5 = 1092610400
Therefore, the lowest common multiple of 544,644,115,998,575 is 1092610400.
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.
544 x 644 x 115 x 998 x 575 = 23119636064000
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.
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
115 : 1, 5, 23, 115
998 : 1, 2, 499, 998
575 : 1, 5, 23, 25, 115, 575
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,644,115,998,575, is 1.
Now, the common factors can be found like this.
544:2x 2x 2x 2x 2x 17
644:2x 2x 7x 23
115:5x 23
998:2x 499
575:5x 5x 23
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 5x 23x 23 = 21160
Therefore, the value for common factors is 21160.
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 = 23119636064000/(1x21160)
LCM = 23119636064000/21160
LCM = 1092610400
Thus, we can understand that the LCM of 544,644,115,998,575 is 1092610400.
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FAQs on LCM of 544, 644, 115, 998, 575
1. What is the LCM of 544, 644, 115, 998, 575?
Answer: LCM of 544, 644, 115, 998, 575 is 1092610400.
2. How to calculate the LCM of 544, 644, 115, 998, 575?
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 544, 644, 115, 998, 575.
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}.