LCM of 266, 874, 228, 198
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 266, 874, 228, 198 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, 874, 228, 198. So, keep reading to learn more.
Given numbers are 266,874,228,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 266,874,228,198 is 1211364.
Find LCM of 266,874,228,198 with Prime Factorization
| 2 | 266, 874, 228, 198 |
| 3 | 133, 437, 114, 99 |
| 19 | 133, 437, 38, 33 |
| 7, 23, 2, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 7 x 23 x 2 x 33 = 1211364
Therefore, the lowest common multiple of 266,874,228,198 is 1211364.
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 874 x 228 x 198 = 10495257696
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
874 : 1, 2, 19, 23, 38, 46, 437, 874
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 266,874,228,198, is 2.
Now, the common factors can be found like this.
266:2x 7x 19
874:2x 19x 23
228:2x 2x 3x 19
198:2x 3x 3x 11
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 19x 19 = 4332
Therefore, the value for common factors is 4332.
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 = 10495257696/(2x4332)
LCM = 10495257696/8664
LCM = 1211364
Thus, we can understand that the LCM of 266,874,228,198 is 1211364.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 266, 874, 228, 198
1. What is the LCM of 266, 874, 228, 198?
Answer: LCM of 266, 874, 228, 198 is 1211364.
2. How to calculate the LCM of 266, 874, 228, 198?
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, 874, 228, 198.
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}.