LCM of 232, 432, 522, 373, 563
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 232, 432, 522, 373, 563 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 232, 432, 522, 373, 563. So, keep reading to learn more.
Given numbers are 232,432,522,373,563
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 232,432,522,373,563 is 2630867472.
Find LCM of 232,432,522,373,563 with Prime Factorization
| 2 | 232, 432, 522, 373, 563 |
| 2 | 116, 216, 261, 373, 563 |
| 2 | 58, 108, 261, 373, 563 |
| 3 | 29, 54, 261, 373, 563 |
| 3 | 29, 18, 87, 373, 563 |
| 29 | 29, 6, 29, 373, 563 |
| 1, 6, 1, 373, 563 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 29 x 1 x 6 x 1 x 373 x 563 = 2630867472
Therefore, the lowest common multiple of 232,432,522,373,563 is 2630867472.
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.
232 x 432 x 522 x 373 x 563 = 10986502563072
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.
232 : 1, 2, 4, 8, 29, 58, 116, 232
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
373 : 1, 373
563 : 1, 563
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,432,522,373,563, is 1.
Now, the common factors can be found like this.
232:2x 2x 2x 29
432:2x 2x 2x 2x 3x 3x 3
522:2x 3x 3x 29
373:373
563:563
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 3x 3x 29 = 4176
Therefore, the value for common factors is 4176.
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 = 10986502563072/(1x4176)
LCM = 10986502563072/4176
LCM = 2630867472
Thus, we can understand that the LCM of 232,432,522,373,563 is 2630867472.
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FAQs on LCM of 232, 432, 522, 373, 563
1. What is the LCM of 232, 432, 522, 373, 563?
Answer: LCM of 232, 432, 522, 373, 563 is 2630867472.
2. How to calculate the LCM of 232, 432, 522, 373, 563?
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 232, 432, 522, 373, 563.
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}.