LCM of 546, 288, 735, 517, 819
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 288, 735, 517, 819 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 546, 288, 735, 517, 819. So, keep reading to learn more.
Given numbers are 546,288,735,517,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,288,735,517,819 is 474233760.
Find LCM of 546,288,735,517,819 with Prime Factorization
| 2 | 546, 288, 735, 517, 819 |
| 3 | 273, 144, 735, 517, 819 |
| 3 | 91, 48, 245, 517, 273 |
| 7 | 91, 16, 245, 517, 91 |
| 13 | 13, 16, 35, 517, 13 |
| 1, 16, 35, 517, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 13 x 1 x 16 x 35 x 517 x 1 = 474233760
Therefore, the lowest common multiple of 546,288,735,517,819 is 474233760.
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.
546 x 288 x 735 x 517 x 819 = 48938078629440
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.
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
517 : 1, 11, 47, 517
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,288,735,517,819, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
288:2x 2x 2x 2x 2x 3x 3
735:3x 5x 7x 7
517:11x 47
819:3x 3x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 7x 7x 13 = 103194
Therefore, the value for common factors is 103194.
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 = 48938078629440/(1x103194)
LCM = 48938078629440/103194
LCM = 474233760
Thus, we can understand that the LCM of 546,288,735,517,819 is 474233760.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 546, 288, 735, 517, 819
1. What is the LCM of 546, 288, 735, 517, 819?
Answer: LCM of 546, 288, 735, 517, 819 is 474233760.
2. How to calculate the LCM of 546, 288, 735, 517, 819?
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 546, 288, 735, 517, 819.
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}.