LCM of 188, 420, 322, 588, 644
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 188, 420, 322, 588, 644 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 188, 420, 322, 588, 644. So, keep reading to learn more.
Given numbers are 188,420,322,588,644
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 188,420,322,588,644 is 3178140.
Find LCM of 188,420,322,588,644 with Prime Factorization
| 2 | 188, 420, 322, 588, 644 |
| 2 | 94, 210, 161, 294, 322 |
| 3 | 47, 105, 161, 147, 161 |
| 7 | 47, 35, 161, 49, 161 |
| 23 | 47, 5, 23, 7, 23 |
| 47, 5, 1, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 23 x 47 x 5 x 1 x 7 x 1 = 3178140
Therefore, the lowest common multiple of 188,420,322,588,644 is 3178140.
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.
188 x 420 x 322 x 588 x 644 = 9627781040640
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.
188 : 1, 2, 4, 47, 94, 188
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
322 : 1, 2, 7, 14, 23, 46, 161, 322
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 188,420,322,588,644, is 2.
Now, the common factors can be found like this.
188:2x 2x 47
420:2x 2x 3x 5x 7
322:2x 7x 23
588:2x 2x 3x 7x 7
644:2x 2x 7x 23
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 2x 3x 7x 7x 7x 23 = 1514688
Therefore, the value for common factors is 1514688.
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 = 9627781040640/(2x1514688)
LCM = 9627781040640/3029376
LCM = 3178140
Thus, we can understand that the LCM of 188,420,322,588,644 is 3178140.
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FAQs on LCM of 188, 420, 322, 588, 644
1. What is the LCM of 188, 420, 322, 588, 644?
Answer: LCM of 188, 420, 322, 588, 644 is 3178140.
2. How to calculate the LCM of 188, 420, 322, 588, 644?
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 188, 420, 322, 588, 644.
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}.