LCM of 633, 522, 560, 412, 783
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 633, 522, 560, 412, 783 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 633, 522, 560, 412, 783. So, keep reading to learn more.
Given numbers are 633,522,560,412,783
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 633,522,560,412,783 is 9529485840.
Find LCM of 633,522,560,412,783 with Prime Factorization
| 2 | 633, 522, 560, 412, 783 |
| 2 | 633, 261, 280, 206, 783 |
| 3 | 633, 261, 140, 103, 783 |
| 3 | 211, 87, 140, 103, 261 |
| 29 | 211, 29, 140, 103, 87 |
| 211, 1, 140, 103, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 29 x 211 x 1 x 140 x 103 x 3 = 9529485840
Therefore, the lowest common multiple of 633,522,560,412,783 is 9529485840.
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.
633 x 522 x 560 x 412 x 783 = 59692699301760
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.
633 : 1, 3, 211, 633
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
412 : 1, 2, 4, 103, 206, 412
783 : 1, 3, 9, 27, 29, 87, 261, 783
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 633,522,560,412,783, is 1.
Now, the common factors can be found like this.
633:3x 211
522:2x 3x 3x 29
560:2x 2x 2x 2x 5x 7
412:2x 2x 103
783:3x 3x 3x 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 2x 2x 3x 3x 3x 29 = 6264
Therefore, the value for common factors is 6264.
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 = 59692699301760/(1x6264)
LCM = 59692699301760/6264
LCM = 9529485840
Thus, we can understand that the LCM of 633,522,560,412,783 is 9529485840.
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FAQs on LCM of 633, 522, 560, 412, 783
1. What is the LCM of 633, 522, 560, 412, 783?
Answer: LCM of 633, 522, 560, 412, 783 is 9529485840.
2. How to calculate the LCM of 633, 522, 560, 412, 783?
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 633, 522, 560, 412, 783.
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}.