LCM of 572, 906, 668, 836, 694
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 572, 906, 668, 836, 694 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 572, 906, 668, 836, 694. So, keep reading to learn more.
Given numbers are 572,906,668,836,694
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,906,668,836,694 is 285294748596.
Find LCM of 572,906,668,836,694 with Prime Factorization
| 2 | 572, 906, 668, 836, 694 |
| 2 | 286, 453, 334, 418, 347 |
| 11 | 143, 453, 167, 209, 347 |
| 13, 453, 167, 19, 347 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 13 x 453 x 167 x 19 x 347 = 285294748596
Therefore, the lowest common multiple of 572,906,668,836,694 is 285294748596.
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.
572 x 906 x 668 x 836 x 694 = 200847503011584
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.
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
906 : 1, 2, 3, 6, 151, 302, 453, 906
668 : 1, 2, 4, 167, 334, 668
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
694 : 1, 2, 347, 694
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,906,668,836,694, is 2.
Now, the common factors can be found like this.
572:2x 2x 11x 13
906:2x 3x 151
668:2x 2x 167
836:2x 2x 11x 19
694:2x 347
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 11 = 352
Therefore, the value for common factors is 352.
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 = 200847503011584/(2x352)
LCM = 200847503011584/704
LCM = 285294748596
Thus, we can understand that the LCM of 572,906,668,836,694 is 285294748596.
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FAQs on LCM of 572, 906, 668, 836, 694
1. What is the LCM of 572, 906, 668, 836, 694?
Answer: LCM of 572, 906, 668, 836, 694 is 285294748596.
2. How to calculate the LCM of 572, 906, 668, 836, 694?
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 572, 906, 668, 836, 694.
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}.