LCM of 266, 586, 702, 676, 186
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 266, 586, 702, 676, 186 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, 586, 702, 676, 186. So, keep reading to learn more.
Given numbers are 266,586,702,676,186
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 266,586,702,676,186 is 22049127828.
Find LCM of 266,586,702,676,186 with Prime Factorization
| 2 | 266, 586, 702, 676, 186 |
| 3 | 133, 293, 351, 338, 93 |
| 13 | 133, 293, 117, 338, 31 |
| 133, 293, 9, 26, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 133 x 293 x 9 x 26 x 31 = 22049127828
Therefore, the lowest common multiple of 266,586,702,676,186 is 22049127828.
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 586 x 702 x 676 x 186 = 13758655764672
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
586 : 1, 2, 293, 586
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
186 : 1, 2, 3, 6, 31, 62, 93, 186
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 266,586,702,676,186, is 2.
Now, the common factors can be found like this.
266:2x 7x 19
586:2x 293
702:2x 3x 3x 3x 13
676:2x 2x 13x 13
186:2x 3x 31
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 13 = 312
Therefore, the value for common factors is 312.
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 = 13758655764672/(2x312)
LCM = 13758655764672/624
LCM = 22049127828
Thus, we can understand that the LCM of 266,586,702,676,186 is 22049127828.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 266, 586, 702, 676, 186
1. What is the LCM of 266, 586, 702, 676, 186?
Answer: LCM of 266, 586, 702, 676, 186 is 22049127828.
2. How to calculate the LCM of 266, 586, 702, 676, 186?
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, 586, 702, 676, 186.
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}.