LCM of 606, 248, 814, 313, 576
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 606, 248, 814, 313, 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 606, 248, 814, 313, 576. So, keep reading to learn more.
Given numbers are 606,248,814,313,576
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 606,248,814,313,576 is 229744063296.
Find LCM of 606,248,814,313,576 with Prime Factorization
| 2 | 606, 248, 814, 313, 576 |
| 2 | 303, 124, 407, 313, 288 |
| 2 | 303, 62, 407, 313, 144 |
| 3 | 303, 31, 407, 313, 72 |
| 101, 31, 407, 313, 24 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 101 x 31 x 407 x 313 x 24 = 229744063296
Therefore, the lowest common multiple of 606,248,814,313,576 is 229744063296.
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.
606 x 248 x 814 x 313 x 576 = 22055430076416
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.
606 : 1, 2, 3, 6, 101, 202, 303, 606
248 : 1, 2, 4, 8, 31, 62, 124, 248
814 : 1, 2, 11, 22, 37, 74, 407, 814
313 : 1, 313
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 606,248,814,313,576, is 1.
Now, the common factors can be found like this.
606:2x 3x 101
248:2x 2x 2x 31
814:2x 11x 37
313:313
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 3 = 96
Therefore, the value for common factors is 96.
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 = 22055430076416/(1x96)
LCM = 22055430076416/96
LCM = 229744063296
Thus, we can understand that the LCM of 606,248,814,313,576 is 229744063296.
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FAQs on LCM of 606, 248, 814, 313, 576
1. What is the LCM of 606, 248, 814, 313, 576?
Answer: LCM of 606, 248, 814, 313, 576 is 229744063296.
2. How to calculate the LCM of 606, 248, 814, 313, 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 606, 248, 814, 313, 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}.