LCM of 576, 393, 179, 742, 456
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 576, 393, 179, 742, 456 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, 393, 179, 742, 456. So, keep reading to learn more.
Given numbers are 576,393,179,742,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 576,393,179,742,456 is 95208192576.
Find LCM of 576,393,179,742,456 with Prime Factorization
| 2 | 576, 393, 179, 742, 456 |
| 2 | 288, 393, 179, 371, 228 |
| 2 | 144, 393, 179, 371, 114 |
| 3 | 72, 393, 179, 371, 57 |
| 24, 131, 179, 371, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 24 x 131 x 179 x 371 x 19 = 95208192576
Therefore, the lowest common multiple of 576,393,179,742,456 is 95208192576.
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 393 x 179 x 742 x 456 = 13709979730944
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
393 : 1, 3, 131, 393
179 : 1, 179
742 : 1, 2, 7, 14, 53, 106, 371, 742
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,393,179,742,456, is 1.
Now, the common factors can be found like this.
576:2x 2x 2x 2x 2x 2x 3x 3
393:3x 131
179:179
742:2x 7x 53
456:2x 2x 2x 3x 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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 13709979730944/(1x144)
LCM = 13709979730944/144
LCM = 95208192576
Thus, we can understand that the LCM of 576,393,179,742,456 is 95208192576.
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FAQs on LCM of 576, 393, 179, 742, 456
1. What is the LCM of 576, 393, 179, 742, 456?
Answer: LCM of 576, 393, 179, 742, 456 is 95208192576.
2. How to calculate the LCM of 576, 393, 179, 742, 456?
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, 393, 179, 742, 456.
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}.