LCM of 642, 276, 306, 559, 576
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 642, 276, 306, 559, 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 642, 276, 306, 559, 576. So, keep reading to learn more.
Given numbers are 642,276,306,559,576
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,276,306,559,576 is 13470844608.
Find LCM of 642,276,306,559,576 with Prime Factorization
| 2 | 642, 276, 306, 559, 576 |
| 2 | 321, 138, 153, 559, 288 |
| 3 | 321, 69, 153, 559, 144 |
| 3 | 107, 23, 51, 559, 48 |
| 107, 23, 17, 559, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 107 x 23 x 17 x 559 x 16 = 13470844608
Therefore, the lowest common multiple of 642,276,306,559,576 is 13470844608.
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.
642 x 276 x 306 x 559 x 576 = 17458214611968
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.
642 : 1, 2, 3, 6, 107, 214, 321, 642
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
559 : 1, 13, 43, 559
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 642,276,306,559,576, is 1.
Now, the common factors can be found like this.
642:2x 3x 107
276:2x 2x 3x 23
306:2x 3x 3x 17
559:13x 43
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 3x 3x 3x 3 = 1296
Therefore, the value for common factors is 1296.
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 = 17458214611968/(1x1296)
LCM = 17458214611968/1296
LCM = 13470844608
Thus, we can understand that the LCM of 642,276,306,559,576 is 13470844608.
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FAQs on LCM of 642, 276, 306, 559, 576
1. What is the LCM of 642, 276, 306, 559, 576?
Answer: LCM of 642, 276, 306, 559, 576 is 13470844608.
2. How to calculate the LCM of 642, 276, 306, 559, 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 642, 276, 306, 559, 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}.