LCM of 512, 482, 748, 393, 192
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 512, 482, 748, 393, 192 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 512, 482, 748, 393, 192. So, keep reading to learn more.
Given numbers are 512,482,748,393,192
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 512,482,748,393,192 is 9068201472.
Find LCM of 512,482,748,393,192 with Prime Factorization
| 2 | 512, 482, 748, 393, 192 |
| 2 | 256, 241, 374, 393, 96 |
| 2 | 128, 241, 187, 393, 48 |
| 2 | 64, 241, 187, 393, 24 |
| 2 | 32, 241, 187, 393, 12 |
| 2 | 16, 241, 187, 393, 6 |
| 3 | 8, 241, 187, 393, 3 |
| 8, 241, 187, 131, 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 8 x 241 x 187 x 131 x 1 = 9068201472
Therefore, the lowest common multiple of 512,482,748,393,192 is 9068201472.
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.
512 x 482 x 748 x 393 x 192 = 13928757460992
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.
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
482 : 1, 2, 241, 482
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
393 : 1, 3, 131, 393
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,482,748,393,192, is 1.
Now, the common factors can be found like this.
512:2x 2x 2x 2x 2x 2x 2x 2x 2
482:2x 241
748:2x 2x 11x 17
393:3x 131
192:2x 2x 2x 2x 2x 2x 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 3 = 1536
Therefore, the value for common factors is 1536.
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 = 13928757460992/(1x1536)
LCM = 13928757460992/1536
LCM = 9068201472
Thus, we can understand that the LCM of 512,482,748,393,192 is 9068201472.
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FAQs on LCM of 512, 482, 748, 393, 192
1. What is the LCM of 512, 482, 748, 393, 192?
Answer: LCM of 512, 482, 748, 393, 192 is 9068201472.
2. How to calculate the LCM of 512, 482, 748, 393, 192?
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 512, 482, 748, 393, 192.
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}.