LCM of 524, 408, 923, 560, 287
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 524, 408, 923, 560, 287 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 524, 408, 923, 560, 287. So, keep reading to learn more.
Given numbers are 524,408,923,560,287
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 524,408,923,560,287 is 141584286480.
Find LCM of 524,408,923,560,287 with Prime Factorization
| 2 | 524, 408, 923, 560, 287 |
| 2 | 262, 204, 923, 280, 287 |
| 2 | 131, 102, 923, 140, 287 |
| 7 | 131, 51, 923, 70, 287 |
| 131, 51, 923, 10, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 131 x 51 x 923 x 10 x 41 = 141584286480
Therefore, the lowest common multiple of 524,408,923,560,287 is 141584286480.
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.
524 x 408 x 923 x 560 x 287 = 31714880171520
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.
524 : 1, 2, 4, 131, 262, 524
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
923 : 1, 13, 71, 923
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
287 : 1, 7, 41, 287
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,408,923,560,287, is 1.
Now, the common factors can be found like this.
524:2x 2x 131
408:2x 2x 2x 3x 17
923:13x 71
560:2x 2x 2x 2x 5x 7
287:7x 41
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 7 = 224
Therefore, the value for common factors is 224.
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 = 31714880171520/(1x224)
LCM = 31714880171520/224
LCM = 141584286480
Thus, we can understand that the LCM of 524,408,923,560,287 is 141584286480.
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FAQs on LCM of 524, 408, 923, 560, 287
1. What is the LCM of 524, 408, 923, 560, 287?
Answer: LCM of 524, 408, 923, 560, 287 is 141584286480.
2. How to calculate the LCM of 524, 408, 923, 560, 287?
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 524, 408, 923, 560, 287.
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}.