LCM of 523, 144, 456, 489, 363
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 523, 144, 456, 489, 363 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, 144, 456, 489, 363. So, keep reading to learn more.
Given numbers are 523,144,456,489,363
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 523,144,456,489,363 is 28222192944.
Find LCM of 523,144,456,489,363 with Prime Factorization
| 2 | 523, 144, 456, 489, 363 |
| 2 | 523, 72, 228, 489, 363 |
| 2 | 523, 36, 114, 489, 363 |
| 3 | 523, 18, 57, 489, 363 |
| 523, 6, 19, 163, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 523 x 6 x 19 x 163 x 121 = 28222192944
Therefore, the lowest common multiple of 523,144,456,489,363 is 28222192944.
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 144 x 456 x 489 x 363 = 6095993675904
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
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
489 : 1, 3, 163, 489
363 : 1, 3, 11, 33, 121, 363
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,144,456,489,363, is 1.
Now, the common factors can be found like this.
523:523
144:2x 2x 2x 2x 3x 3
456:2x 2x 2x 3x 19
489:3x 163
363:3x 11x 11
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 6095993675904/(1x216)
LCM = 6095993675904/216
LCM = 28222192944
Thus, we can understand that the LCM of 523,144,456,489,363 is 28222192944.
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FAQs on LCM of 523, 144, 456, 489, 363
1. What is the LCM of 523, 144, 456, 489, 363?
Answer: LCM of 523, 144, 456, 489, 363 is 28222192944.
2. How to calculate the LCM of 523, 144, 456, 489, 363?
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, 144, 456, 489, 363.
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}.