LCM of 266, 930, 235, 422, 564
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 266, 930, 235, 422, 564 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 266, 930, 235, 422, 564. So, keep reading to learn more.
Given numbers are 266,930,235,422,564
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 266,930,235,422,564 is 2453267460.
Find LCM of 266,930,235,422,564 with Prime Factorization
| 2 | 266, 930, 235, 422, 564 |
| 3 | 133, 465, 235, 211, 282 |
| 5 | 133, 155, 235, 211, 94 |
| 47 | 133, 31, 47, 211, 94 |
| 133, 31, 1, 211, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 47 x 133 x 31 x 1 x 211 x 2 = 2453267460
Therefore, the lowest common multiple of 266,930,235,422,564 is 2453267460.
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.
266 x 930 x 235 x 422 x 564 = 13836428474400
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.
266 : 1, 2, 7, 14, 19, 38, 133, 266
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
235 : 1, 5, 47, 235
422 : 1, 2, 211, 422
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 266,930,235,422,564, is 1.
Now, the common factors can be found like this.
266:2x 7x 19
930:2x 3x 5x 31
235:5x 47
422:2x 211
564:2x 2x 3x 47
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 3x 5x 47 = 5640
Therefore, the value for common factors is 5640.
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 = 13836428474400/(1x5640)
LCM = 13836428474400/5640
LCM = 2453267460
Thus, we can understand that the LCM of 266,930,235,422,564 is 2453267460.
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FAQs on LCM of 266, 930, 235, 422, 564
1. What is the LCM of 266, 930, 235, 422, 564?
Answer: LCM of 266, 930, 235, 422, 564 is 2453267460.
2. How to calculate the LCM of 266, 930, 235, 422, 564?
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 266, 930, 235, 422, 564.
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}.