LCM of 552, 308, 768, 302, 399
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 552, 308, 768, 302, 399 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 552, 308, 768, 302, 399. So, keep reading to learn more.
Given numbers are 552,308,768,302,399
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 552,308,768,302,399 is 3902207232.
Find LCM of 552,308,768,302,399 with Prime Factorization
| 2 | 552, 308, 768, 302, 399 |
| 2 | 276, 154, 384, 151, 399 |
| 2 | 138, 77, 192, 151, 399 |
| 3 | 69, 77, 96, 151, 399 |
| 7 | 23, 77, 32, 151, 133 |
| 23, 11, 32, 151, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 23 x 11 x 32 x 151 x 19 = 3902207232
Therefore, the lowest common multiple of 552,308,768,302,399 is 3902207232.
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.
552 x 308 x 768 x 302 x 399 = 15733699559424
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.
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
302 : 1, 2, 151, 302
399 : 1, 3, 7, 19, 21, 57, 133, 399
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,308,768,302,399, is 1.
Now, the common factors can be found like this.
552:2x 2x 2x 3x 23
308:2x 2x 7x 11
768:2x 2x 2x 2x 2x 2x 2x 2x 3
302:2x 151
399:3x 7x 19
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 3x 3x 7 = 4032
Therefore, the value for common factors is 4032.
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 = 15733699559424/(1x4032)
LCM = 15733699559424/4032
LCM = 3902207232
Thus, we can understand that the LCM of 552,308,768,302,399 is 3902207232.
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FAQs on LCM of 552, 308, 768, 302, 399
1. What is the LCM of 552, 308, 768, 302, 399?
Answer: LCM of 552, 308, 768, 302, 399 is 3902207232.
2. How to calculate the LCM of 552, 308, 768, 302, 399?
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 552, 308, 768, 302, 399.
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}.