LCM of 523, 590, 935, 531, 885
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 523, 590, 935, 531, 885 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 523, 590, 935, 531, 885. So, keep reading to learn more.
Given numbers are 523,590,935,531,885
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 523,590,935,531,885 is 519323310.
Find LCM of 523,590,935,531,885 with Prime Factorization
| 3 | 523, 590, 935, 531, 885 |
| 5 | 523, 590, 935, 177, 295 |
| 59 | 523, 118, 187, 177, 59 |
| 523, 2, 187, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 59 x 523 x 2 x 187 x 3 x 1 = 519323310
Therefore, the lowest common multiple of 523,590,935,531,885 is 519323310.
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.
523 x 590 x 935 x 531 x 885 = 135582333158250
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.
523 : 1, 523
590 : 1, 2, 5, 10, 59, 118, 295, 590
935 : 1, 5, 11, 17, 55, 85, 187, 935
531 : 1, 3, 9, 59, 177, 531
885 : 1, 3, 5, 15, 59, 177, 295, 885
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,590,935,531,885, is 1.
Now, the common factors can be found like this.
523:523
590:2x 5x 59
935:5x 11x 17
531:3x 3x 59
885:3x 5x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 59x 59 = 261075
Therefore, the value for common factors is 261075.
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 = 135582333158250/(1x261075)
LCM = 135582333158250/261075
LCM = 519323310
Thus, we can understand that the LCM of 523,590,935,531,885 is 519323310.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 523, 590, 935, 531, 885
1. What is the LCM of 523, 590, 935, 531, 885?
Answer: LCM of 523, 590, 935, 531, 885 is 519323310.
2. How to calculate the LCM of 523, 590, 935, 531, 885?
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 523, 590, 935, 531, 885.
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}.