LCM of 545, 576, 490, 664, 576
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 545, 576, 490, 664, 576 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 545, 576, 490, 664, 576. So, keep reading to learn more.
Given numbers are 545,576,490,664,576
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 545,576,490,664,576 is 1276712640.
Find LCM of 545,576,490,664,576 with Prime Factorization
| 2 | 545, 576, 490, 664, 576 |
| 2 | 545, 288, 245, 332, 288 |
| 2 | 545, 144, 245, 166, 144 |
| 2 | 545, 72, 245, 83, 72 |
| 2 | 545, 36, 245, 83, 36 |
| 2 | 545, 18, 245, 83, 18 |
| 3 | 545, 9, 245, 83, 9 |
| 3 | 545, 3, 245, 83, 3 |
| 5 | 545, 1, 245, 83, 1 |
| 109, 1, 49, 83, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 109 x 1 x 49 x 83 x 1 = 1276712640
Therefore, the lowest common multiple of 545,576,490,664,576 is 1276712640.
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.
545 x 576 x 490 x 664 x 576 = 58830918451200
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.
545 : 1, 5, 109, 545
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
664 : 1, 2, 4, 8, 83, 166, 332, 664
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 545,576,490,664,576, is 1.
Now, the common factors can be found like this.
545:5x 109
576:2x 2x 2x 2x 2x 2x 3x 3
490:2x 5x 7x 7
664:2x 2x 2x 83
576:2x 2x 2x 2x 2x 2x 3x 3
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 2x 2x 2x 2x 2x 2x 3x 3x 5 = 46080
Therefore, the value for common factors is 46080.
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 = 58830918451200/(1x46080)
LCM = 58830918451200/46080
LCM = 1276712640
Thus, we can understand that the LCM of 545,576,490,664,576 is 1276712640.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 545, 576, 490, 664, 576
1. What is the LCM of 545, 576, 490, 664, 576?
Answer: LCM of 545, 576, 490, 664, 576 is 1276712640.
2. How to calculate the LCM of 545, 576, 490, 664, 576?
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 545, 576, 490, 664, 576.
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}.