LCM of 422, 591, 591, 378
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 422, 591, 591, 378 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 422, 591, 591, 378. So, keep reading to learn more.
Given numbers are 422,591,591,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 422,591,591,378 is 15712326.
Find LCM of 422,591,591,378 with Prime Factorization
| 2 | 422, 591, 591, 378 |
| 3 | 211, 591, 591, 189 |
| 197 | 211, 197, 197, 63 |
| 211, 1, 1, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 197 x 211 x 1 x 1 x 63 = 15712326
Therefore, the lowest common multiple of 422,591,591,378 is 15712326.
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.
422 x 591 x 591 x 378 = 55715907996
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.
422 : 1, 2, 211, 422
591 : 1, 3, 197, 591
591 : 1, 3, 197, 591
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,591,591,378, is 1.
Now, the common factors can be found like this.
422:2x 211
591:3x 197
591:3x 197
378:2x 3x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 197 = 3546
Therefore, the value for common factors is 3546.
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 = 55715907996/(1x3546)
LCM = 55715907996/3546
LCM = 15712326
Thus, we can understand that the LCM of 422,591,591,378 is 15712326.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 422, 591, 591, 378
1. What is the LCM of 422, 591, 591, 378?
Answer: LCM of 422, 591, 591, 378 is 15712326.
2. How to calculate the LCM of 422, 591, 591, 378?
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 422, 591, 591, 378.
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}.