LCM of 638, 574, 633, 121, 221
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 638, 574, 633, 121, 221 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 638, 574, 633, 121, 221. So, keep reading to learn more.
Given numbers are 638,574,633,121,221
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 638,574,633,121,221 is 281767724238.
Find LCM of 638,574,633,121,221 with Prime Factorization
| 2 | 638, 574, 633, 121, 221 |
| 11 | 319, 287, 633, 121, 221 |
| 29, 287, 633, 11, 221 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 29 x 287 x 633 x 11 x 221 = 281767724238
Therefore, the lowest common multiple of 638,574,633,121,221 is 281767724238.
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.
638 x 574 x 633 x 121 x 221 = 6198889933236
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.
638 : 1, 2, 11, 22, 29, 58, 319, 638
574 : 1, 2, 7, 14, 41, 82, 287, 574
633 : 1, 3, 211, 633
121 : 1, 11, 121
221 : 1, 13, 17, 221
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,574,633,121,221, is 1.
Now, the common factors can be found like this.
638:2x 11x 29
574:2x 7x 41
633:3x 211
121:11x 11
221:13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 6198889933236/(1x22)
LCM = 6198889933236/22
LCM = 281767724238
Thus, we can understand that the LCM of 638,574,633,121,221 is 281767724238.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 638, 574, 633, 121, 221
1. What is the LCM of 638, 574, 633, 121, 221?
Answer: LCM of 638, 574, 633, 121, 221 is 281767724238.
2. How to calculate the LCM of 638, 574, 633, 121, 221?
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 638, 574, 633, 121, 221.
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}.