LCM of 534, 975, 504, 633, 816
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 534, 975, 504, 633, 816 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 534, 975, 504, 633, 816. So, keep reading to learn more.
Given numbers are 534,975,504,633,816
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 534,975,504,633,816 is 104584006800.
Find LCM of 534,975,504,633,816 with Prime Factorization
| 2 | 534, 975, 504, 633, 816 |
| 2 | 267, 975, 252, 633, 408 |
| 2 | 267, 975, 126, 633, 204 |
| 3 | 267, 975, 63, 633, 102 |
| 89, 325, 21, 211, 34 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 89 x 325 x 21 x 211 x 34 = 104584006800
Therefore, the lowest common multiple of 534,975,504,633,816 is 104584006800.
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.
534 x 975 x 504 x 633 x 816 = 135540872812800
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.
534 : 1, 2, 3, 6, 89, 178, 267, 534
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
633 : 1, 3, 211, 633
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 534,975,504,633,816, is 3.
Now, the common factors can be found like this.
534:2x 3x 89
975:3x 5x 5x 13
504:2x 2x 2x 3x 3x 7
633:3x 211
816:2x 2x 2x 2x 3x 17
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 3 = 432
Therefore, the value for common factors is 432.
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 = 135540872812800/(3x432)
LCM = 135540872812800/1296
LCM = 104584006800
Thus, we can understand that the LCM of 534,975,504,633,816 is 104584006800.
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FAQs on LCM of 534, 975, 504, 633, 816
1. What is the LCM of 534, 975, 504, 633, 816?
Answer: LCM of 534, 975, 504, 633, 816 is 104584006800.
2. How to calculate the LCM of 534, 975, 504, 633, 816?
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 534, 975, 504, 633, 816.
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}.