LCM of 261, 211, 663, 422
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 261, 211, 663, 422 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 261, 211, 663, 422. So, keep reading to learn more.
Given numbers are 261,211,663,422
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 261,211,663,422 is 24341382.
Find LCM of 261,211,663,422 with Prime Factorization
| 3 | 261, 211, 663, 422 |
| 211 | 87, 211, 221, 422 |
| 87, 1, 221, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 211 x 87 x 1 x 221 x 2 = 24341382
Therefore, the lowest common multiple of 261,211,663,422 is 24341382.
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.
261 x 211 x 663 x 422 = 15408094806
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.
261 : 1, 3, 9, 29, 87, 261
211 : 1, 211
663 : 1, 3, 13, 17, 39, 51, 221, 663
422 : 1, 2, 211, 422
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,211,663,422, is 1.
Now, the common factors can be found like this.
261:3x 3x 29
211:211
663:3x 13x 17
422:2x 211
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 211 = 633
Therefore, the value for common factors is 633.
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 = 15408094806/(1x633)
LCM = 15408094806/633
LCM = 24341382
Thus, we can understand that the LCM of 261,211,663,422 is 24341382.
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FAQs on LCM of 261, 211, 663, 422
1. What is the LCM of 261, 211, 663, 422?
Answer: LCM of 261, 211, 663, 422 is 24341382.
2. How to calculate the LCM of 261, 211, 663, 422?
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 261, 211, 663, 422.
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}.