LCM of 559, 364, 304, 204, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 559, 364, 304, 204, 714 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 559, 364, 304, 204, 714. So, keep reading to learn more.
Given numbers are 559,364,304,204,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 559,364,304,204,714 is 60667152.
Find LCM of 559,364,304,204,714 with Prime Factorization
| 2 | 559, 364, 304, 204, 714 |
| 2 | 559, 182, 152, 102, 357 |
| 3 | 559, 91, 76, 51, 357 |
| 7 | 559, 91, 76, 17, 119 |
| 13 | 559, 13, 76, 17, 17 |
| 17 | 43, 1, 76, 17, 17 |
| 43, 1, 76, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 13 x 17 x 43 x 1 x 76 x 1 x 1 = 60667152
Therefore, the lowest common multiple of 559,364,304,204,714 is 60667152.
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.
559 x 364 x 304 x 204 x 714 = 9009800077824
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.
559 : 1, 13, 43, 559
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 559,364,304,204,714, is 1.
Now, the common factors can be found like this.
559:13x 43
364:2x 2x 7x 13
304:2x 2x 2x 2x 19
204:2x 2x 3x 17
714:2x 3x 7x 17
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 3x 7x 13x 17 = 148512
Therefore, the value for common factors is 148512.
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 = 9009800077824/(1x148512)
LCM = 9009800077824/148512
LCM = 60667152
Thus, we can understand that the LCM of 559,364,304,204,714 is 60667152.
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FAQs on LCM of 559, 364, 304, 204, 714
1. What is the LCM of 559, 364, 304, 204, 714?
Answer: LCM of 559, 364, 304, 204, 714 is 60667152.
2. How to calculate the LCM of 559, 364, 304, 204, 714?
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 559, 364, 304, 204, 714.
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}.