LCM of 422, 385, 135, 106, 636
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 422, 385, 135, 106, 636 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, 385, 135, 106, 636. So, keep reading to learn more.
Given numbers are 422,385,135,106,636
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 422,385,135,106,636 is 464989140.
Find LCM of 422,385,135,106,636 with Prime Factorization
| 2 | 422, 385, 135, 106, 636 |
| 3 | 211, 385, 135, 53, 318 |
| 5 | 211, 385, 45, 53, 106 |
| 53 | 211, 77, 9, 53, 106 |
| 211, 77, 9, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 53 x 211 x 77 x 9 x 1 x 2 = 464989140
Therefore, the lowest common multiple of 422,385,135,106,636 is 464989140.
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 385 x 135 x 106 x 636 = 1478665465200
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
385 : 1, 5, 7, 11, 35, 55, 77, 385
135 : 1, 3, 5, 9, 15, 27, 45, 135
106 : 1, 2, 53, 106
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,385,135,106,636, is 1.
Now, the common factors can be found like this.
422:2x 211
385:5x 7x 11
135:3x 3x 3x 5
106:2x 53
636:2x 2x 3x 53
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 3x 5x 53 = 3180
Therefore, the value for common factors is 3180.
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 = 1478665465200/(1x3180)
LCM = 1478665465200/3180
LCM = 464989140
Thus, we can understand that the LCM of 422,385,135,106,636 is 464989140.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 422, 385, 135, 106, 636
1. What is the LCM of 422, 385, 135, 106, 636?
Answer: LCM of 422, 385, 135, 106, 636 is 464989140.
2. How to calculate the LCM of 422, 385, 135, 106, 636?
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, 385, 135, 106, 636.
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}.