LCM of 523, 874, 435, 507, 580
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 523, 874, 435, 507, 580 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, 874, 435, 507, 580. So, keep reading to learn more.
Given numbers are 523,874,435,507,580
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 523,874,435,507,580 is 67207707060.
Find LCM of 523,874,435,507,580 with Prime Factorization
| 2 | 523, 874, 435, 507, 580 |
| 3 | 523, 437, 435, 507, 290 |
| 5 | 523, 437, 145, 169, 290 |
| 29 | 523, 437, 29, 169, 58 |
| 523, 437, 1, 169, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 29 x 523 x 437 x 1 x 169 x 2 = 67207707060
Therefore, the lowest common multiple of 523,874,435,507,580 is 67207707060.
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 874 x 435 x 507 x 580 = 58470705142200
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
874 : 1, 2, 19, 23, 38, 46, 437, 874
435 : 1, 3, 5, 15, 29, 87, 145, 435
507 : 1, 3, 13, 39, 169, 507
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,874,435,507,580, is 1.
Now, the common factors can be found like this.
523:523
874:2x 19x 23
435:3x 5x 29
507:3x 13x 13
580:2x 2x 5x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 29 = 870
Therefore, the value for common factors is 870.
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 = 58470705142200/(1x870)
LCM = 58470705142200/870
LCM = 67207707060
Thus, we can understand that the LCM of 523,874,435,507,580 is 67207707060.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 523, 874, 435, 507, 580
1. What is the LCM of 523, 874, 435, 507, 580?
Answer: LCM of 523, 874, 435, 507, 580 is 67207707060.
2. How to calculate the LCM of 523, 874, 435, 507, 580?
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, 874, 435, 507, 580.
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}.