LCM of 576, 296, 448, 505, 676
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 576, 296, 448, 505, 676 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 576, 296, 448, 505, 676. So, keep reading to learn more.
Given numbers are 576,296,448,505,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 576,296,448,505,676 is 12732108480.
Find LCM of 576,296,448,505,676 with Prime Factorization
| 2 | 576, 296, 448, 505, 676 |
| 2 | 288, 148, 224, 505, 338 |
| 2 | 144, 74, 112, 505, 169 |
| 2 | 72, 37, 56, 505, 169 |
| 2 | 36, 37, 28, 505, 169 |
| 2 | 18, 37, 14, 505, 169 |
| 9, 37, 7, 505, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 9 x 37 x 7 x 505 x 169 = 12732108480
Therefore, the lowest common multiple of 576,296,448,505,676 is 12732108480.
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.
576 x 296 x 448 x 505 x 676 = 26075358167040
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.
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
296 : 1, 2, 4, 8, 37, 74, 148, 296
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
505 : 1, 5, 101, 505
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,296,448,505,676, is 1.
Now, the common factors can be found like this.
576:2x 2x 2x 2x 2x 2x 3x 3
296:2x 2x 2x 37
448:2x 2x 2x 2x 2x 2x 7
505:5x 101
676:2x 2x 13x 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 2x 2x 2x 2x 2x 2x 2x 2x 2x 2 = 2048
Therefore, the value for common factors is 2048.
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 = 26075358167040/(1x2048)
LCM = 26075358167040/2048
LCM = 12732108480
Thus, we can understand that the LCM of 576,296,448,505,676 is 12732108480.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 576, 296, 448, 505, 676
1. What is the LCM of 576, 296, 448, 505, 676?
Answer: LCM of 576, 296, 448, 505, 676 is 12732108480.
2. How to calculate the LCM of 576, 296, 448, 505, 676?
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 576, 296, 448, 505, 676.
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}.