LCM of 694, 410, 873, 442, 270
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 694, 410, 873, 442, 270 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 694, 410, 873, 442, 270. So, keep reading to learn more.
Given numbers are 694,410,873,442,270
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 694,410,873,442,270 is 82345733730.
Find LCM of 694,410,873,442,270 with Prime Factorization
| 2 | 694, 410, 873, 442, 270 |
| 3 | 347, 205, 873, 221, 135 |
| 3 | 347, 205, 291, 221, 45 |
| 5 | 347, 205, 97, 221, 15 |
| 347, 41, 97, 221, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 347 x 41 x 97 x 221 x 3 = 82345733730
Therefore, the lowest common multiple of 694,410,873,442,270 is 82345733730.
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.
694 x 410 x 873 x 442 x 270 = 29644464142800
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.
694 : 1, 2, 347, 694
410 : 1, 2, 5, 10, 41, 82, 205, 410
873 : 1, 3, 9, 97, 291, 873
442 : 1, 2, 13, 17, 26, 34, 221, 442
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,410,873,442,270, is 1.
Now, the common factors can be found like this.
694:2x 347
410:2x 5x 41
873:3x 3x 97
442:2x 13x 17
270:2x 3x 3x 3x 5
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 3x 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 29644464142800/(1x360)
LCM = 29644464142800/360
LCM = 82345733730
Thus, we can understand that the LCM of 694,410,873,442,270 is 82345733730.
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FAQs on LCM of 694, 410, 873, 442, 270
1. What is the LCM of 694, 410, 873, 442, 270?
Answer: LCM of 694, 410, 873, 442, 270 is 82345733730.
2. How to calculate the LCM of 694, 410, 873, 442, 270?
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 694, 410, 873, 442, 270.
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}.